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Finding the Fourth Proportional to 24,670.92, 37,006.98 and 9,677.40

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Solution

The fourth proportional to 24,670.92, 37,006.98 and 9,677.40 is: 14,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.92 : 37,006.98 = 9,677.40 : x
  2. Step 2: Convert to fraction form
    24,670.92/37,006.98 = 9,677.40/x
  3. Step 3: Cross multiply
    24,670.92x = 37,006.98 × 9,677.40
  4. Step 4: Simplify right side
    24,670.92x = 358,131,348.25
  5. Step 5: Solve for x
    x = 358,131,348.25/24,670.92
  6. Step 6: Final answer
    x = 14,516.34

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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.