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Finding the Fourth Proportional to 12,281.60, 18,411.60 and 7,353.20

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Solution

The fourth proportional to 12,281.60, 18,411.60 and 7,353.20 is: 11,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.60 : 18,411.60 = 7,353.20 : x
  2. Step 2: Convert to fraction form
    12,281.60/18,411.60 = 7,353.20/x
  3. Step 3: Cross multiply
    12,281.60x = 18,411.60 × 7,353.20
  4. Step 4: Simplify right side
    12,281.60x = 135,384,177.12
  5. Step 5: Solve for x
    x = 135,384,177.12/12,281.60
  6. Step 6: Final answer
    x = 11,023.33

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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.