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Finding the Fourth Proportional to 10,234.66, 14,125.55 and 5,927.12

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Solution

The fourth proportional to 10,234.66, 14,125.55 and 5,927.12 is: 8,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.66 : 14,125.55 = 5,927.12 : x
  2. Step 2: Convert to fraction form
    10,234.66/14,125.55 = 5,927.12/x
  3. Step 3: Cross multiply
    10,234.66x = 14,125.55 × 5,927.12
  4. Step 4: Simplify right side
    10,234.66x = 83,723,800.28
  5. Step 5: Solve for x
    x = 83,723,800.28/10,234.66
  6. Step 6: Final answer
    x = 8,180.42

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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.