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Finding the Fourth Proportional to 24,413, 36,617.66 and 7,772.36

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Solution

The fourth proportional to 24,413, 36,617.66 and 7,772.36 is: 11,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413 : 36,617.66 = 7,772.36 : x
  2. Step 2: Convert to fraction form
    24,413/36,617.66 = 7,772.36/x
  3. Step 3: Cross multiply
    24,413x = 36,617.66 × 7,772.36
  4. Step 4: Simplify right side
    24,413x = 284,605,635.88
  5. Step 5: Solve for x
    x = 284,605,635.88/24,413
  6. Step 6: Final answer
    x = 11,657.95

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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.