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Finding the Fourth Proportional to 11,497.65, 15,866.96 and 6,323.75

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Solution

The fourth proportional to 11,497.65, 15,866.96 and 6,323.75 is: 8,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.65 : 15,866.96 = 6,323.75 : x
  2. Step 2: Convert to fraction form
    11,497.65/15,866.96 = 6,323.75/x
  3. Step 3: Cross multiply
    11,497.65x = 15,866.96 × 6,323.75
  4. Step 4: Simplify right side
    11,497.65x = 100,338,577.35
  5. Step 5: Solve for x
    x = 100,338,577.35/11,497.65
  6. Step 6: Final answer
    x = 8,726.88

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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.