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Finding the Fourth Proportional to 10,205.60, 15,286.80 and 10,205.60

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Solution

The fourth proportional to 10,205.60, 15,286.80 and 10,205.60 is: 15,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.60 : 15,286.80 = 10,205.60 : x
  2. Step 2: Convert to fraction form
    10,205.60/15,286.80 = 10,205.60/x
  3. Step 3: Cross multiply
    10,205.60x = 15,286.80 × 10,205.60
  4. Step 4: Simplify right side
    10,205.60x = 156,010,966.08
  5. Step 5: Solve for x
    x = 156,010,966.08/10,205.60
  6. Step 6: Final answer
    x = 15,286.80

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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.