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Finding the Fourth Proportional to 10,189.14, 14,060.88 and 5,712.88

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Solution

The fourth proportional to 10,189.14, 14,060.88 and 5,712.88 is: 7,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.14 : 14,060.88 = 5,712.88 : x
  2. Step 2: Convert to fraction form
    10,189.14/14,060.88 = 5,712.88/x
  3. Step 3: Cross multiply
    10,189.14x = 14,060.88 × 5,712.88
  4. Step 4: Simplify right side
    10,189.14x = 80,328,120.13
  5. Step 5: Solve for x
    x = 80,328,120.13/10,189.14
  6. Step 6: Final answer
    x = 7,883.70

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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.