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Finding the Fourth Proportional to 6,681.95, 9,220.42 and 3,697.71

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Solution

The fourth proportional to 6,681.95, 9,220.42 and 3,697.71 is: 5,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.95 : 9,220.42 = 3,697.71 : x
  2. Step 2: Convert to fraction form
    6,681.95/9,220.42 = 3,697.71/x
  3. Step 3: Cross multiply
    6,681.95x = 9,220.42 × 3,697.71
  4. Step 4: Simplify right side
    6,681.95x = 34,094,439.24
  5. Step 5: Solve for x
    x = 34,094,439.24/6,681.95
  6. Step 6: Final answer
    x = 5,102.47

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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.