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Finding the Fourth Proportional to 11,473.79, 15,833.93 and 6,438.11

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Solution

The fourth proportional to 11,473.79, 15,833.93 and 6,438.11 is: 8,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.79 : 15,833.93 = 6,438.11 : x
  2. Step 2: Convert to fraction form
    11,473.79/15,833.93 = 6,438.11/x
  3. Step 3: Cross multiply
    11,473.79x = 15,833.93 × 6,438.11
  4. Step 4: Simplify right side
    11,473.79x = 101,940,471.71
  5. Step 5: Solve for x
    x = 101,940,471.71/11,473.79
  6. Step 6: Final answer
    x = 8,884.64

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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.