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Finding the Fourth Proportional to 16,648.84, 24,972.06 and 6,785.32

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Solution

The fourth proportional to 16,648.84, 24,972.06 and 6,785.32 is: 10,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.84 : 24,972.06 = 6,785.32 : x
  2. Step 2: Convert to fraction form
    16,648.84/24,972.06 = 6,785.32/x
  3. Step 3: Cross multiply
    16,648.84x = 24,972.06 × 6,785.32
  4. Step 4: Simplify right side
    16,648.84x = 169,443,418.16
  5. Step 5: Solve for x
    x = 169,443,418.16/16,648.84
  6. Step 6: Final answer
    x = 10,177.49

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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.