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Finding the Fourth Proportional to 7,691.16, 10,613.90 and 4,547.32

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Solution

The fourth proportional to 7,691.16, 10,613.90 and 4,547.32 is: 6,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.16 : 10,613.90 = 4,547.32 : x
  2. Step 2: Convert to fraction form
    7,691.16/10,613.90 = 4,547.32/x
  3. Step 3: Cross multiply
    7,691.16x = 10,613.90 × 4,547.32
  4. Step 4: Simplify right side
    7,691.16x = 48,264,799.75
  5. Step 5: Solve for x
    x = 48,264,799.75/7,691.16
  6. Step 6: Final answer
    x = 6,275.36

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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.