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Finding the Fourth Proportional to 4,709.57, 6,498.92 and 2,693.20

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Solution

The fourth proportional to 4,709.57, 6,498.92 and 2,693.20 is: 3,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.57 : 6,498.92 = 2,693.20 : x
  2. Step 2: Convert to fraction form
    4,709.57/6,498.92 = 2,693.20/x
  3. Step 3: Cross multiply
    4,709.57x = 6,498.92 × 2,693.20
  4. Step 4: Simplify right side
    4,709.57x = 17,502,845.38
  5. Step 5: Solve for x
    x = 17,502,845.38/4,709.57
  6. Step 6: Final answer
    x = 3,716.44

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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.