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Finding the Fourth Proportional to 6,869.75, 9,480.72 and 3,885.57

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Solution

The fourth proportional to 6,869.75, 9,480.72 and 3,885.57 is: 5,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.75 : 9,480.72 = 3,885.57 : x
  2. Step 2: Convert to fraction form
    6,869.75/9,480.72 = 3,885.57/x
  3. Step 3: Cross multiply
    6,869.75x = 9,480.72 × 3,885.57
  4. Step 4: Simplify right side
    6,869.75x = 36,838,001.21
  5. Step 5: Solve for x
    x = 36,838,001.21/6,869.75
  6. Step 6: Final answer
    x = 5,362.35

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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.