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Finding the Fourth Proportional to 9,602.21, 13,252.08 and 5,626.65

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Solution

The fourth proportional to 9,602.21, 13,252.08 and 5,626.65 is: 7,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.21 : 13,252.08 = 5,626.65 : x
  2. Step 2: Convert to fraction form
    9,602.21/13,252.08 = 5,626.65/x
  3. Step 3: Cross multiply
    9,602.21x = 13,252.08 × 5,626.65
  4. Step 4: Simplify right side
    9,602.21x = 74,564,815.93
  5. Step 5: Solve for x
    x = 74,564,815.93/9,602.21
  6. Step 6: Final answer
    x = 7,765.38

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Half scale
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Double scale
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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.