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Finding the Fourth Proportional to 24,643.77, 36,983.46 and 9,856.80

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Solution

The fourth proportional to 24,643.77, 36,983.46 and 9,856.80 is: 14,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.77 : 36,983.46 = 9,856.80 : x
  2. Step 2: Convert to fraction form
    24,643.77/36,983.46 = 9,856.80/x
  3. Step 3: Cross multiply
    24,643.77x = 36,983.46 × 9,856.80
  4. Step 4: Simplify right side
    24,643.77x = 364,538,568.53
  5. Step 5: Solve for x
    x = 364,538,568.53/24,643.77
  6. Step 6: Final answer
    x = 14,792.32

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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.