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Finding the Fourth Proportional to 8,734.86, 13,102.29 and 7,192.62

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Solution

The fourth proportional to 8,734.86, 13,102.29 and 7,192.62 is: 10,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.86 : 13,102.29 = 7,192.62 : x
  2. Step 2: Convert to fraction form
    8,734.86/13,102.29 = 7,192.62/x
  3. Step 3: Cross multiply
    8,734.86x = 13,102.29 × 7,192.62
  4. Step 4: Simplify right side
    8,734.86x = 94,239,793.10
  5. Step 5: Solve for x
    x = 94,239,793.10/8,734.86
  6. Step 6: Final answer
    x = 10,788.93

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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.