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Finding the Fourth Proportional to 5,182.65, 7,774.02 and 4,149.23

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Solution

The fourth proportional to 5,182.65, 7,774.02 and 4,149.23 is: 6,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.65 : 7,774.02 = 4,149.23 : x
  2. Step 2: Convert to fraction form
    5,182.65/7,774.02 = 4,149.23/x
  3. Step 3: Cross multiply
    5,182.65x = 7,774.02 × 4,149.23
  4. Step 4: Simplify right side
    5,182.65x = 32,256,158.13
  5. Step 5: Solve for x
    x = 32,256,158.13/5,182.65
  6. Step 6: Final answer
    x = 6,223.87

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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.