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Finding the Fourth Proportional to 22,312.97, 33,472.59 and 6,519.16

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Solution

The fourth proportional to 22,312.97, 33,472.59 and 6,519.16 is: 9,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.97 : 33,472.59 = 6,519.16 : x
  2. Step 2: Convert to fraction form
    22,312.97/33,472.59 = 6,519.16/x
  3. Step 3: Cross multiply
    22,312.97x = 33,472.59 × 6,519.16
  4. Step 4: Simplify right side
    22,312.97x = 218,213,137.23
  5. Step 5: Solve for x
    x = 218,213,137.23/22,312.97
  6. Step 6: Final answer
    x = 9,779.65

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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.