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Finding the Fourth Proportional to 7,171.11, 9,904.41 and 4,777.14

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Solution

The fourth proportional to 7,171.11, 9,904.41 and 4,777.14 is: 6,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.11 : 9,904.41 = 4,777.14 : x
  2. Step 2: Convert to fraction form
    7,171.11/9,904.41 = 4,777.14/x
  3. Step 3: Cross multiply
    7,171.11x = 9,904.41 × 4,777.14
  4. Step 4: Simplify right side
    7,171.11x = 47,314,753.19
  5. Step 5: Solve for x
    x = 47,314,753.19/7,171.11
  6. Step 6: Final answer
    x = 6,597.97

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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.