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Finding the Fourth Proportional to 24,513.80, 36,772.95 and 7,646.90

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Solution

The fourth proportional to 24,513.80, 36,772.95 and 7,646.90 is: 11,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.80 : 36,772.95 = 7,646.90 : x
  2. Step 2: Convert to fraction form
    24,513.80/36,772.95 = 7,646.90/x
  3. Step 3: Cross multiply
    24,513.80x = 36,772.95 × 7,646.90
  4. Step 4: Simplify right side
    24,513.80x = 281,199,071.36
  5. Step 5: Solve for x
    x = 281,199,071.36/24,513.80
  6. Step 6: Final answer
    x = 11,471.05

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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.