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Finding the Fourth Proportional to 10,143, 13,997.88 and 5,952.60

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Solution

The fourth proportional to 10,143, 13,997.88 and 5,952.60 is: 8,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 13,997.88 = 5,952.60 : x
  2. Step 2: Convert to fraction form
    10,143/13,997.88 = 5,952.60/x
  3. Step 3: Cross multiply
    10,143x = 13,997.88 × 5,952.60
  4. Step 4: Simplify right side
    10,143x = 83,323,780.49
  5. Step 5: Solve for x
    x = 83,323,780.49/10,143
  6. Step 6: Final answer
    x = 8,214.90

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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.