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Finding the Fourth Proportional to 6,949.64, 9,585.42 and 5,061.80

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Solution

The fourth proportional to 6,949.64, 9,585.42 and 5,061.80 is: 6,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.64 : 9,585.42 = 5,061.80 : x
  2. Step 2: Convert to fraction form
    6,949.64/9,585.42 = 5,061.80/x
  3. Step 3: Cross multiply
    6,949.64x = 9,585.42 × 5,061.80
  4. Step 4: Simplify right side
    6,949.64x = 48,519,478.96
  5. Step 5: Solve for x
    x = 48,519,478.96/6,949.64
  6. Step 6: Final answer
    x = 6,981.58

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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.