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Finding the Fourth Proportional to 6,528.96, 9,774.78 and 6,115.14

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Solution

The fourth proportional to 6,528.96, 9,774.78 and 6,115.14 is: 9,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.96 : 9,774.78 = 6,115.14 : x
  2. Step 2: Convert to fraction form
    6,528.96/9,774.78 = 6,115.14/x
  3. Step 3: Cross multiply
    6,528.96x = 9,774.78 × 6,115.14
  4. Step 4: Simplify right side
    6,528.96x = 59,774,148.17
  5. Step 5: Solve for x
    x = 59,774,148.17/6,528.96
  6. Step 6: Final answer
    x = 9,155.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.