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Finding the Fourth Proportional to 4,902.65, 6,762.24 and 3,223.52

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Solution

The fourth proportional to 4,902.65, 6,762.24 and 3,223.52 is: 4,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.65 : 6,762.24 = 3,223.52 : x
  2. Step 2: Convert to fraction form
    4,902.65/6,762.24 = 3,223.52/x
  3. Step 3: Cross multiply
    4,902.65x = 6,762.24 × 3,223.52
  4. Step 4: Simplify right side
    4,902.65x = 21,798,182.86
  5. Step 5: Solve for x
    x = 21,798,182.86/4,902.65
  6. Step 6: Final answer
    x = 4,446.21

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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.