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Finding the Fourth Proportional to 6,965.17, 9,612 and 3,821.35

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Solution

The fourth proportional to 6,965.17, 9,612 and 3,821.35 is: 5,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.17 : 9,612 = 3,821.35 : x
  2. Step 2: Convert to fraction form
    6,965.17/9,612 = 3,821.35/x
  3. Step 3: Cross multiply
    6,965.17x = 9,612 × 3,821.35
  4. Step 4: Simplify right side
    6,965.17x = 36,730,816.20
  5. Step 5: Solve for x
    x = 36,730,816.20/6,965.17
  6. Step 6: Final answer
    x = 5,273.50

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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.