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Finding the Fourth Proportional to 10,310.74, 14,229.12 and 5,834.40

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Solution

The fourth proportional to 10,310.74, 14,229.12 and 5,834.40 is: 8,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.74 : 14,229.12 = 5,834.40 : x
  2. Step 2: Convert to fraction form
    10,310.74/14,229.12 = 5,834.40/x
  3. Step 3: Cross multiply
    10,310.74x = 14,229.12 × 5,834.40
  4. Step 4: Simplify right side
    10,310.74x = 83,018,377.73
  5. Step 5: Solve for x
    x = 83,018,377.73/10,310.74
  6. Step 6: Final answer
    x = 8,051.64

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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.