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Finding the Fourth Proportional to 23,543.12, 35,314.44 and 7,127.12

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Solution

The fourth proportional to 23,543.12, 35,314.44 and 7,127.12 is: 10,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.12 : 35,314.44 = 7,127.12 : x
  2. Step 2: Convert to fraction form
    23,543.12/35,314.44 = 7,127.12/x
  3. Step 3: Cross multiply
    23,543.12x = 35,314.44 × 7,127.12
  4. Step 4: Simplify right side
    23,543.12x = 251,690,251.61
  5. Step 5: Solve for x
    x = 251,690,251.61/23,543.12
  6. Step 6: Final answer
    x = 10,690.61

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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.