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Finding the Fourth Proportional to 6,159.29, 9,224.18 and 4,488.94

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Solution

The fourth proportional to 6,159.29, 9,224.18 and 4,488.94 is: 6,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.29 : 9,224.18 = 4,488.94 : x
  2. Step 2: Convert to fraction form
    6,159.29/9,224.18 = 4,488.94/x
  3. Step 3: Cross multiply
    6,159.29x = 9,224.18 × 4,488.94
  4. Step 4: Simplify right side
    6,159.29x = 41,406,790.57
  5. Step 5: Solve for x
    x = 41,406,790.57/6,159.29
  6. Step 6: Final answer
    x = 6,722.66

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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.