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Finding the Fourth Proportional to 8,095.61, 12,143.43 and 2,252.22

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Solution

The fourth proportional to 8,095.61, 12,143.43 and 2,252.22 is: 3,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.61 : 12,143.43 = 2,252.22 : x
  2. Step 2: Convert to fraction form
    8,095.61/12,143.43 = 2,252.22/x
  3. Step 3: Cross multiply
    8,095.61x = 12,143.43 × 2,252.22
  4. Step 4: Simplify right side
    8,095.61x = 27,349,675.91
  5. Step 5: Solve for x
    x = 27,349,675.91/8,095.61
  6. Step 6: Final answer
    x = 3,378.34

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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.