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Finding the Fourth Proportional to 24,102.70, 36,152.70 and 7,462.60

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Solution

The fourth proportional to 24,102.70, 36,152.70 and 7,462.60 is: 11,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.70 : 36,152.70 = 7,462.60 : x
  2. Step 2: Convert to fraction form
    24,102.70/36,152.70 = 7,462.60/x
  3. Step 3: Cross multiply
    24,102.70x = 36,152.70 × 7,462.60
  4. Step 4: Simplify right side
    24,102.70x = 269,793,139.02
  5. Step 5: Solve for x
    x = 269,793,139.02/24,102.70
  6. Step 6: Final answer
    x = 11,193.48

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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.