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Finding the Fourth Proportional to 6,897.62, 9,517.08 and 4,065.15

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Solution

The fourth proportional to 6,897.62, 9,517.08 and 4,065.15 is: 5,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.62 : 9,517.08 = 4,065.15 : x
  2. Step 2: Convert to fraction form
    6,897.62/9,517.08 = 4,065.15/x
  3. Step 3: Cross multiply
    6,897.62x = 9,517.08 × 4,065.15
  4. Step 4: Simplify right side
    6,897.62x = 38,688,357.76
  5. Step 5: Solve for x
    x = 38,688,357.76/6,897.62
  6. Step 6: Final answer
    x = 5,608.94

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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.