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Finding the Fourth Proportional to 12,588.48, 17,375.04 and 7,283.52

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Solution

The fourth proportional to 12,588.48, 17,375.04 and 7,283.52 is: 10,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.48 : 17,375.04 = 7,283.52 : x
  2. Step 2: Convert to fraction form
    12,588.48/17,375.04 = 7,283.52/x
  3. Step 3: Cross multiply
    12,588.48x = 17,375.04 × 7,283.52
  4. Step 4: Simplify right side
    12,588.48x = 126,551,451.34
  5. Step 5: Solve for x
    x = 126,551,451.34/12,588.48
  6. Step 6: Final answer
    x = 10,052.96

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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.