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Finding the Fourth Proportional to 11,497.86, 15,868.23 and 6,462.54

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Solution

The fourth proportional to 11,497.86, 15,868.23 and 6,462.54 is: 8,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.86 : 15,868.23 = 6,462.54 : x
  2. Step 2: Convert to fraction form
    11,497.86/15,868.23 = 6,462.54/x
  3. Step 3: Cross multiply
    11,497.86x = 15,868.23 × 6,462.54
  4. Step 4: Simplify right side
    11,497.86x = 102,549,071.10
  5. Step 5: Solve for x
    x = 102,549,071.10/11,497.86
  6. Step 6: Final answer
    x = 8,918.97

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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.