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Finding the Fourth Proportional to 6,957.41, 9,593.84 and 4,967.24

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Solution

The fourth proportional to 6,957.41, 9,593.84 and 4,967.24 is: 6,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.41 : 9,593.84 = 4,967.24 : x
  2. Step 2: Convert to fraction form
    6,957.41/9,593.84 = 4,967.24/x
  3. Step 3: Cross multiply
    6,957.41x = 9,593.84 × 4,967.24
  4. Step 4: Simplify right side
    6,957.41x = 47,654,870.25
  5. Step 5: Solve for x
    x = 47,654,870.25/6,957.41
  6. Step 6: Final answer
    x = 6,849.52

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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.