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Finding the Fourth Proportional to 11,706.47, 17,559.72 and 4,780.97

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Solution

The fourth proportional to 11,706.47, 17,559.72 and 4,780.97 is: 7,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.47 : 17,559.72 = 4,780.97 : x
  2. Step 2: Convert to fraction form
    11,706.47/17,559.72 = 4,780.97/x
  3. Step 3: Cross multiply
    11,706.47x = 17,559.72 × 4,780.97
  4. Step 4: Simplify right side
    11,706.47x = 83,952,472.58
  5. Step 5: Solve for x
    x = 83,952,472.58/11,706.47
  6. Step 6: Final answer
    x = 7,171.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.