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Finding the Fourth Proportional to 7,071.30, 9,757.65 and 4,088.08

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Solution

The fourth proportional to 7,071.30, 9,757.65 and 4,088.08 is: 5,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.30 : 9,757.65 = 4,088.08 : x
  2. Step 2: Convert to fraction form
    7,071.30/9,757.65 = 4,088.08/x
  3. Step 3: Cross multiply
    7,071.30x = 9,757.65 × 4,088.08
  4. Step 4: Simplify right side
    7,071.30x = 39,890,053.81
  5. Step 5: Solve for x
    x = 39,890,053.81/7,071.30
  6. Step 6: Final answer
    x = 5,641.12

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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.