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Finding the Fourth Proportional to 24,460.88, 36,686.52 and 7,822.80

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Solution

The fourth proportional to 24,460.88, 36,686.52 and 7,822.80 is: 11,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.88 : 36,686.52 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    24,460.88/36,686.52 = 7,822.80/x
  3. Step 3: Cross multiply
    24,460.88x = 36,686.52 × 7,822.80
  4. Step 4: Simplify right side
    24,460.88x = 286,991,308.66
  5. Step 5: Solve for x
    x = 286,991,308.66/24,460.88
  6. Step 6: Final answer
    x = 11,732.66

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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.