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Finding the Fourth Proportional to 10,487.54, 14,473.08 and 5,707.80

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Solution

The fourth proportional to 10,487.54, 14,473.08 and 5,707.80 is: 7,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.54 : 14,473.08 = 5,707.80 : x
  2. Step 2: Convert to fraction form
    10,487.54/14,473.08 = 5,707.80/x
  3. Step 3: Cross multiply
    10,487.54x = 14,473.08 × 5,707.80
  4. Step 4: Simplify right side
    10,487.54x = 82,609,446.02
  5. Step 5: Solve for x
    x = 82,609,446.02/10,487.54
  6. Step 6: Final answer
    x = 7,876.91

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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.