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Finding the Fourth Proportional to 10,151.86, 15,203.20 and 7,023.10

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Solution

The fourth proportional to 10,151.86, 15,203.20 and 7,023.10 is: 10,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.86 : 15,203.20 = 7,023.10 : x
  2. Step 2: Convert to fraction form
    10,151.86/15,203.20 = 7,023.10/x
  3. Step 3: Cross multiply
    10,151.86x = 15,203.20 × 7,023.10
  4. Step 4: Simplify right side
    10,151.86x = 106,773,593.92
  5. Step 5: Solve for x
    x = 106,773,593.92/10,151.86
  6. Step 6: Final answer
    x = 10,517.64

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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.