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Finding the Fourth Proportional to 19,498.60, 29,248.80 and 9,512.54

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Solution

The fourth proportional to 19,498.60, 29,248.80 and 9,512.54 is: 14,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.60 : 29,248.80 = 9,512.54 : x
  2. Step 2: Convert to fraction form
    19,498.60/29,248.80 = 9,512.54/x
  3. Step 3: Cross multiply
    19,498.60x = 29,248.80 × 9,512.54
  4. Step 4: Simplify right side
    19,498.60x = 278,230,379.95
  5. Step 5: Solve for x
    x = 278,230,379.95/19,498.60
  6. Step 6: Final answer
    x = 14,269.25

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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.