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Finding the Fourth Proportional to 6,899.28, 9,522 and 3,874.74

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Solution

The fourth proportional to 6,899.28, 9,522 and 3,874.74 is: 5,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.28 : 9,522 = 3,874.74 : x
  2. Step 2: Convert to fraction form
    6,899.28/9,522 = 3,874.74/x
  3. Step 3: Cross multiply
    6,899.28x = 9,522 × 3,874.74
  4. Step 4: Simplify right side
    6,899.28x = 36,895,274.28
  5. Step 5: Solve for x
    x = 36,895,274.28/6,899.28
  6. Step 6: Final answer
    x = 5,347.70

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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.