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Finding the Fourth Proportional to 12,114.76, 18,174.30 and 4,723.24

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Solution

The fourth proportional to 12,114.76, 18,174.30 and 4,723.24 is: 7,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.76 : 18,174.30 = 4,723.24 : x
  2. Step 2: Convert to fraction form
    12,114.76/18,174.30 = 4,723.24/x
  3. Step 3: Cross multiply
    12,114.76x = 18,174.30 × 4,723.24
  4. Step 4: Simplify right side
    12,114.76x = 85,841,580.73
  5. Step 5: Solve for x
    x = 85,841,580.73/12,114.76
  6. Step 6: Final answer
    x = 7,085.70

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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.