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Finding the Fourth Proportional to 8,095.88, 12,144.30 and 2,549.40

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Solution

The fourth proportional to 8,095.88, 12,144.30 and 2,549.40 is: 3,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.88 : 12,144.30 = 2,549.40 : x
  2. Step 2: Convert to fraction form
    8,095.88/12,144.30 = 2,549.40/x
  3. Step 3: Cross multiply
    8,095.88x = 12,144.30 × 2,549.40
  4. Step 4: Simplify right side
    8,095.88x = 30,960,678.42
  5. Step 5: Solve for x
    x = 30,960,678.42/8,095.88
  6. Step 6: Final answer
    x = 3,824.25

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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.