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Finding the Fourth Proportional to 7,663.08, 10,565.76 and 5,962.08

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Solution

The fourth proportional to 7,663.08, 10,565.76 and 5,962.08 is: 8,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.08 : 10,565.76 = 5,962.08 : x
  2. Step 2: Convert to fraction form
    7,663.08/10,565.76 = 5,962.08/x
  3. Step 3: Cross multiply
    7,663.08x = 10,565.76 × 5,962.08
  4. Step 4: Simplify right side
    7,663.08x = 62,993,906.38
  5. Step 5: Solve for x
    x = 62,993,906.38/7,663.08
  6. Step 6: Final answer
    x = 8,220.44

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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.