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Finding the Fourth Proportional to 6,580.34, 9,079.37 and 3,747.16

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Solution

The fourth proportional to 6,580.34, 9,079.37 and 3,747.16 is: 5,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.34 : 9,079.37 = 3,747.16 : x
  2. Step 2: Convert to fraction form
    6,580.34/9,079.37 = 3,747.16/x
  3. Step 3: Cross multiply
    6,580.34x = 9,079.37 × 3,747.16
  4. Step 4: Simplify right side
    6,580.34x = 34,021,806.69
  5. Step 5: Solve for x
    x = 34,021,806.69/6,580.34
  6. Step 6: Final answer
    x = 5,170.22

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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.