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Finding the Fourth Proportional to 9,507.62, 13,124.16 and 8,511.14

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Solution

The fourth proportional to 9,507.62, 13,124.16 and 8,511.14 is: 11,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.62 : 13,124.16 = 8,511.14 : x
  2. Step 2: Convert to fraction form
    9,507.62/13,124.16 = 8,511.14/x
  3. Step 3: Cross multiply
    9,507.62x = 13,124.16 × 8,511.14
  4. Step 4: Simplify right side
    9,507.62x = 111,701,563.14
  5. Step 5: Solve for x
    x = 111,701,563.14/9,507.62
  6. Step 6: Final answer
    x = 11,748.64

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.