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Finding the Fourth Proportional to 17,706.52, 26,576.19 and 8,947.60

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Solution

The fourth proportional to 17,706.52, 26,576.19 and 8,947.60 is: 13,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.52 : 26,576.19 = 8,947.60 : x
  2. Step 2: Convert to fraction form
    17,706.52/26,576.19 = 8,947.60/x
  3. Step 3: Cross multiply
    17,706.52x = 26,576.19 × 8,947.60
  4. Step 4: Simplify right side
    17,706.52x = 237,793,117.64
  5. Step 5: Solve for x
    x = 237,793,117.64/17,706.52
  6. Step 6: Final answer
    x = 13,429.69

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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.