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Finding the Fourth Proportional to 13,002.42, 19,503.64 and 7,451.95

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Solution

The fourth proportional to 13,002.42, 19,503.64 and 7,451.95 is: 11,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.42 : 19,503.64 = 7,451.95 : x
  2. Step 2: Convert to fraction form
    13,002.42/19,503.64 = 7,451.95/x
  3. Step 3: Cross multiply
    13,002.42x = 19,503.64 × 7,451.95
  4. Step 4: Simplify right side
    13,002.42x = 145,340,105.31
  5. Step 5: Solve for x
    x = 145,340,105.31/13,002.42
  6. Step 6: Final answer
    x = 11,177.92

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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.