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Finding the Fourth Proportional to 6,314.47, 9,472.07 and 2,616.98

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Solution

The fourth proportional to 6,314.47, 9,472.07 and 2,616.98 is: 3,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.47 : 9,472.07 = 2,616.98 : x
  2. Step 2: Convert to fraction form
    6,314.47/9,472.07 = 2,616.98/x
  3. Step 3: Cross multiply
    6,314.47x = 9,472.07 × 2,616.98
  4. Step 4: Simplify right side
    6,314.47x = 24,788,176.93
  5. Step 5: Solve for x
    x = 24,788,176.93/6,314.47
  6. Step 6: Final answer
    x = 3,925.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.