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Finding the Fourth Proportional to 8,373.96, 12,531.78 and 7,071.48

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Solution

The fourth proportional to 8,373.96, 12,531.78 and 7,071.48 is: 10,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373.96 : 12,531.78 = 7,071.48 : x
  2. Step 2: Convert to fraction form
    8,373.96/12,531.78 = 7,071.48/x
  3. Step 3: Cross multiply
    8,373.96x = 12,531.78 × 7,071.48
  4. Step 4: Simplify right side
    8,373.96x = 88,618,231.63
  5. Step 5: Solve for x
    x = 88,618,231.63/8,373.96
  6. Step 6: Final answer
    x = 10,582.60

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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.