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Finding the Fourth Proportional to 12,838.60, 19,229.10 and 10,534.60

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Solution

The fourth proportional to 12,838.60, 19,229.10 and 10,534.60 is: 15,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.60 : 19,229.10 = 10,534.60 : x
  2. Step 2: Convert to fraction form
    12,838.60/19,229.10 = 10,534.60/x
  3. Step 3: Cross multiply
    12,838.60x = 19,229.10 × 10,534.60
  4. Step 4: Simplify right side
    12,838.60x = 202,570,876.86
  5. Step 5: Solve for x
    x = 202,570,876.86/12,838.60
  6. Step 6: Final answer
    x = 15,778.27

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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.