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Finding the Fourth Proportional to 14,462.52, 19,957.76 and 8,174.76

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Solution

The fourth proportional to 14,462.52, 19,957.76 and 8,174.76 is: 11,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.52 : 19,957.76 = 8,174.76 : x
  2. Step 2: Convert to fraction form
    14,462.52/19,957.76 = 8,174.76/x
  3. Step 3: Cross multiply
    14,462.52x = 19,957.76 × 8,174.76
  4. Step 4: Simplify right side
    14,462.52x = 163,149,898.14
  5. Step 5: Solve for x
    x = 163,149,898.14/14,462.52
  6. Step 6: Final answer
    x = 11,280.88

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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.