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Finding the Fourth Proportional to 16,291.70, 22,482.53 and 8,839.70

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Solution

The fourth proportional to 16,291.70, 22,482.53 and 8,839.70 is: 12,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.70 : 22,482.53 = 8,839.70 : x
  2. Step 2: Convert to fraction form
    16,291.70/22,482.53 = 8,839.70/x
  3. Step 3: Cross multiply
    16,291.70x = 22,482.53 × 8,839.70
  4. Step 4: Simplify right side
    16,291.70x = 198,738,663.83
  5. Step 5: Solve for x
    x = 198,738,663.83/16,291.70
  6. Step 6: Final answer
    x = 12,198.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.