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Finding the Fourth Proportional to 8,402.64, 12,574.23 and 7,246.27

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Solution

The fourth proportional to 8,402.64, 12,574.23 and 7,246.27 is: 10,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.64 : 12,574.23 = 7,246.27 : x
  2. Step 2: Convert to fraction form
    8,402.64/12,574.23 = 7,246.27/x
  3. Step 3: Cross multiply
    8,402.64x = 12,574.23 × 7,246.27
  4. Step 4: Simplify right side
    8,402.64x = 91,116,265.62
  5. Step 5: Solve for x
    x = 91,116,265.62/8,402.64
  6. Step 6: Final answer
    x = 10,843.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.