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Finding the Fourth Proportional to 6,294.24, 8,672.13 and 4,613.76

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Solution

The fourth proportional to 6,294.24, 8,672.13 and 4,613.76 is: 6,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.24 : 8,672.13 = 4,613.76 : x
  2. Step 2: Convert to fraction form
    6,294.24/8,672.13 = 4,613.76/x
  3. Step 3: Cross multiply
    6,294.24x = 8,672.13 × 4,613.76
  4. Step 4: Simplify right side
    6,294.24x = 40,011,126.51
  5. Step 5: Solve for x
    x = 40,011,126.51/6,294.24
  6. Step 6: Final answer
    x = 6,356.78

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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.