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Finding the Fourth Proportional to 15,967.72, 22,033.79 and 9,834.45

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Solution

The fourth proportional to 15,967.72, 22,033.79 and 9,834.45 is: 13,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.72 : 22,033.79 = 9,834.45 : x
  2. Step 2: Convert to fraction form
    15,967.72/22,033.79 = 9,834.45/x
  3. Step 3: Cross multiply
    15,967.72x = 22,033.79 × 9,834.45
  4. Step 4: Simplify right side
    15,967.72x = 216,690,046.72
  5. Step 5: Solve for x
    x = 216,690,046.72/15,967.72
  6. Step 6: Final answer
    x = 13,570.51

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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.