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Finding the Fourth Proportional to 10,146.87, 14,000.04 and 6,168.15

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Solution

The fourth proportional to 10,146.87, 14,000.04 and 6,168.15 is: 8,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.87 : 14,000.04 = 6,168.15 : x
  2. Step 2: Convert to fraction form
    10,146.87/14,000.04 = 6,168.15/x
  3. Step 3: Cross multiply
    10,146.87x = 14,000.04 × 6,168.15
  4. Step 4: Simplify right side
    10,146.87x = 86,354,346.73
  5. Step 5: Solve for x
    x = 86,354,346.73/10,146.87
  6. Step 6: Final answer
    x = 8,510.44

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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.