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Finding the Fourth Proportional to 10,706.57, 14,775.59 and 6,169.92

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Solution

The fourth proportional to 10,706.57, 14,775.59 and 6,169.92 is: 8,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.57 : 14,775.59 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    10,706.57/14,775.59 = 6,169.92/x
  3. Step 3: Cross multiply
    10,706.57x = 14,775.59 × 6,169.92
  4. Step 4: Simplify right side
    10,706.57x = 91,164,177.40
  5. Step 5: Solve for x
    x = 91,164,177.40/10,706.57
  6. Step 6: Final answer
    x = 8,514.79

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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.