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Finding the Fourth Proportional to 8,281.60, 12,436.80 and 8,022.40

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Solution

The fourth proportional to 8,281.60, 12,436.80 and 8,022.40 is: 12,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.60 : 12,436.80 = 8,022.40 : x
  2. Step 2: Convert to fraction form
    8,281.60/12,436.80 = 8,022.40/x
  3. Step 3: Cross multiply
    8,281.60x = 12,436.80 × 8,022.40
  4. Step 4: Simplify right side
    8,281.60x = 99,772,984.32
  5. Step 5: Solve for x
    x = 99,772,984.32/8,281.60
  6. Step 6: Final answer
    x = 12,047.55

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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.