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Finding the Fourth Proportional to 7,059.80, 9,743.12 and 3,917

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Solution

The fourth proportional to 7,059.80, 9,743.12 and 3,917 is: 5,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.80 : 9,743.12 = 3,917 : x
  2. Step 2: Convert to fraction form
    7,059.80/9,743.12 = 3,917/x
  3. Step 3: Cross multiply
    7,059.80x = 9,743.12 × 3,917
  4. Step 4: Simplify right side
    7,059.80x = 38,163,801.04
  5. Step 5: Solve for x
    x = 38,163,801.04/7,059.80
  6. Step 6: Final answer
    x = 5,405.79

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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.