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Finding the Fourth Proportional to 7,205.36, 9,947.20 and 4,654.68

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Solution

The fourth proportional to 7,205.36, 9,947.20 and 4,654.68 is: 6,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.36 : 9,947.20 = 4,654.68 : x
  2. Step 2: Convert to fraction form
    7,205.36/9,947.20 = 4,654.68/x
  3. Step 3: Cross multiply
    7,205.36x = 9,947.20 × 4,654.68
  4. Step 4: Simplify right side
    7,205.36x = 46,301,032.90
  5. Step 5: Solve for x
    x = 46,301,032.90/7,205.36
  6. Step 6: Final answer
    x = 6,425.92

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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.