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Finding the Fourth Proportional to 6,849.34, 9,452.11 and 3,705.53

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Solution

The fourth proportional to 6,849.34, 9,452.11 and 3,705.53 is: 5,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.34 : 9,452.11 = 3,705.53 : x
  2. Step 2: Convert to fraction form
    6,849.34/9,452.11 = 3,705.53/x
  3. Step 3: Cross multiply
    6,849.34x = 9,452.11 × 3,705.53
  4. Step 4: Simplify right side
    6,849.34x = 35,025,077.17
  5. Step 5: Solve for x
    x = 35,025,077.17/6,849.34
  6. Step 6: Final answer
    x = 5,113.64

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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.