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Finding the Fourth Proportional to 12,102.60, 18,105.30 and 10,477.20

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Solution

The fourth proportional to 12,102.60, 18,105.30 and 10,477.20 is: 15,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.60 : 18,105.30 = 10,477.20 : x
  2. Step 2: Convert to fraction form
    12,102.60/18,105.30 = 10,477.20/x
  3. Step 3: Cross multiply
    12,102.60x = 18,105.30 × 10,477.20
  4. Step 4: Simplify right side
    12,102.60x = 189,692,849.16
  5. Step 5: Solve for x
    x = 189,692,849.16/12,102.60
  6. Step 6: Final answer
    x = 15,673.73

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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.