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Finding the Fourth Proportional to 6,685.52, 9,226.72 and 3,853

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Solution

The fourth proportional to 6,685.52, 9,226.72 and 3,853 is: 5,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.52 : 9,226.72 = 3,853 : x
  2. Step 2: Convert to fraction form
    6,685.52/9,226.72 = 3,853/x
  3. Step 3: Cross multiply
    6,685.52x = 9,226.72 × 3,853
  4. Step 4: Simplify right side
    6,685.52x = 35,550,552.16
  5. Step 5: Solve for x
    x = 35,550,552.16/6,685.52
  6. Step 6: Final answer
    x = 5,317.54

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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.