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Finding the Fourth Proportional to 11,497.34, 15,865.97 and 6,462.11

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Solution

The fourth proportional to 11,497.34, 15,865.97 and 6,462.11 is: 8,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.34 : 15,865.97 = 6,462.11 : x
  2. Step 2: Convert to fraction form
    11,497.34/15,865.97 = 6,462.11/x
  3. Step 3: Cross multiply
    11,497.34x = 15,865.97 × 6,462.11
  4. Step 4: Simplify right side
    11,497.34x = 102,527,531.76
  5. Step 5: Solve for x
    x = 102,527,531.76/11,497.34
  6. Step 6: Final answer
    x = 8,917.50

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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.