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Finding the Fourth Proportional to 7,013.25, 9,678.56 and 3,869.64

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Solution

The fourth proportional to 7,013.25, 9,678.56 and 3,869.64 is: 5,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.25 : 9,678.56 = 3,869.64 : x
  2. Step 2: Convert to fraction form
    7,013.25/9,678.56 = 3,869.64/x
  3. Step 3: Cross multiply
    7,013.25x = 9,678.56 × 3,869.64
  4. Step 4: Simplify right side
    7,013.25x = 37,452,523.57
  5. Step 5: Solve for x
    x = 37,452,523.57/7,013.25
  6. Step 6: Final answer
    x = 5,340.25

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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.