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Finding the Fourth Proportional to 10,123.60, 15,201.60 and 6,851.20

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Solution

The fourth proportional to 10,123.60, 15,201.60 and 6,851.20 is: 10,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.60 : 15,201.60 = 6,851.20 : x
  2. Step 2: Convert to fraction form
    10,123.60/15,201.60 = 6,851.20/x
  3. Step 3: Cross multiply
    10,123.60x = 15,201.60 × 6,851.20
  4. Step 4: Simplify right side
    10,123.60x = 104,149,201.92
  5. Step 5: Solve for x
    x = 104,149,201.92/10,123.60
  6. Step 6: Final answer
    x = 10,287.76

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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.