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Finding the Fourth Proportional to 7,862.84, 11,794.70 and 3,182.16

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Solution

The fourth proportional to 7,862.84, 11,794.70 and 3,182.16 is: 4,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.84 : 11,794.70 = 3,182.16 : x
  2. Step 2: Convert to fraction form
    7,862.84/11,794.70 = 3,182.16/x
  3. Step 3: Cross multiply
    7,862.84x = 11,794.70 × 3,182.16
  4. Step 4: Simplify right side
    7,862.84x = 37,532,622.55
  5. Step 5: Solve for x
    x = 37,532,622.55/7,862.84
  6. Step 6: Final answer
    x = 4,773.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.