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Finding the Fourth Proportional to 7,209.60, 10,122.60 and 7,209.60

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Solution

The fourth proportional to 7,209.60, 10,122.60 and 7,209.60 is: 10,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.60 : 10,122.60 = 7,209.60 : x
  2. Step 2: Convert to fraction form
    7,209.60/10,122.60 = 7,209.60/x
  3. Step 3: Cross multiply
    7,209.60x = 10,122.60 × 7,209.60
  4. Step 4: Simplify right side
    7,209.60x = 72,979,896.96
  5. Step 5: Solve for x
    x = 72,979,896.96/7,209.60
  6. Step 6: Final answer
    x = 10,122.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.