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Finding the Fourth Proportional to 6,707.48, 9,255.90 and 3,723.14

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Solution

The fourth proportional to 6,707.48, 9,255.90 and 3,723.14 is: 5,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.48 : 9,255.90 = 3,723.14 : x
  2. Step 2: Convert to fraction form
    6,707.48/9,255.90 = 3,723.14/x
  3. Step 3: Cross multiply
    6,707.48x = 9,255.90 × 3,723.14
  4. Step 4: Simplify right side
    6,707.48x = 34,461,011.53
  5. Step 5: Solve for x
    x = 34,461,011.53/6,707.48
  6. Step 6: Final answer
    x = 5,137.70

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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.