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Finding the Fourth Proportional to 8,209.60, 12,314.40 and 7,529.20

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Solution

The fourth proportional to 8,209.60, 12,314.40 and 7,529.20 is: 11,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.60 : 12,314.40 = 7,529.20 : x
  2. Step 2: Convert to fraction form
    8,209.60/12,314.40 = 7,529.20/x
  3. Step 3: Cross multiply
    8,209.60x = 12,314.40 × 7,529.20
  4. Step 4: Simplify right side
    8,209.60x = 92,717,580.48
  5. Step 5: Solve for x
    x = 92,717,580.48/8,209.60
  6. Step 6: Final answer
    x = 11,293.80

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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.