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Finding the Fourth Proportional to 6,948.94, 9,589.53 and 3,805.24

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Solution

The fourth proportional to 6,948.94, 9,589.53 and 3,805.24 is: 5,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.94 : 9,589.53 = 3,805.24 : x
  2. Step 2: Convert to fraction form
    6,948.94/9,589.53 = 3,805.24/x
  3. Step 3: Cross multiply
    6,948.94x = 9,589.53 × 3,805.24
  4. Step 4: Simplify right side
    6,948.94x = 36,490,463.14
  5. Step 5: Solve for x
    x = 36,490,463.14/6,948.94
  6. Step 6: Final answer
    x = 5,251.23

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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.