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Finding the Fourth Proportional to 24,416, 36,624.38 and 6,886.28

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Solution

The fourth proportional to 24,416, 36,624.38 and 6,886.28 is: 10,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 36,624.38 = 6,886.28 : x
  2. Step 2: Convert to fraction form
    24,416/36,624.38 = 6,886.28/x
  3. Step 3: Cross multiply
    24,416x = 36,624.38 × 6,886.28
  4. Step 4: Simplify right side
    24,416x = 252,205,735.51
  5. Step 5: Solve for x
    x = 252,205,735.51/24,416
  6. Step 6: Final answer
    x = 10,329.53

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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.