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Finding the Fourth Proportional to 29,646.05, 44,472.19 and 9,657.10

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Solution

The fourth proportional to 29,646.05, 44,472.19 and 9,657.10 is: 14,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646.05 : 44,472.19 = 9,657.10 : x
  2. Step 2: Convert to fraction form
    29,646.05/44,472.19 = 9,657.10/x
  3. Step 3: Cross multiply
    29,646.05x = 44,472.19 × 9,657.10
  4. Step 4: Simplify right side
    29,646.05x = 429,472,250.73
  5. Step 5: Solve for x
    x = 429,472,250.73/29,646.05
  6. Step 6: Final answer
    x = 14,486.66

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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.