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Finding the Fourth Proportional to 8,101.60, 12,152.40 and 4,639.20

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Solution

The fourth proportional to 8,101.60, 12,152.40 and 4,639.20 is: 6,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.60 : 12,152.40 = 4,639.20 : x
  2. Step 2: Convert to fraction form
    8,101.60/12,152.40 = 4,639.20/x
  3. Step 3: Cross multiply
    8,101.60x = 12,152.40 × 4,639.20
  4. Step 4: Simplify right side
    8,101.60x = 56,377,414.08
  5. Step 5: Solve for x
    x = 56,377,414.08/8,101.60
  6. Step 6: Final answer
    x = 6,958.80

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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.