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Finding the Fourth Proportional to 24,644.69, 36,966.98 and 9,857.06

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Solution

The fourth proportional to 24,644.69, 36,966.98 and 9,857.06 is: 14,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.69 : 36,966.98 = 9,857.06 : x
  2. Step 2: Convert to fraction form
    24,644.69/36,966.98 = 9,857.06/x
  3. Step 3: Cross multiply
    24,644.69x = 36,966.98 × 9,857.06
  4. Step 4: Simplify right side
    24,644.69x = 364,385,718.31
  5. Step 5: Solve for x
    x = 364,385,718.31/24,644.69
  6. Step 6: Final answer
    x = 14,785.57

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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.