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Finding the Fourth Proportional to 9,398.11, 12,964.47 and 5,811.93

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Solution

The fourth proportional to 9,398.11, 12,964.47 and 5,811.93 is: 8,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.11 : 12,964.47 = 5,811.93 : x
  2. Step 2: Convert to fraction form
    9,398.11/12,964.47 = 5,811.93/x
  3. Step 3: Cross multiply
    9,398.11x = 12,964.47 × 5,811.93
  4. Step 4: Simplify right side
    9,398.11x = 75,348,527.30
  5. Step 5: Solve for x
    x = 75,348,527.30/9,398.11
  6. Step 6: Final answer
    x = 8,017.41

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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.