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Finding the Fourth Proportional to 26,894.50, 40,343.88 and 8,176.16

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Solution

The fourth proportional to 26,894.50, 40,343.88 and 8,176.16 is: 12,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.50 : 40,343.88 = 8,176.16 : x
  2. Step 2: Convert to fraction form
    26,894.50/40,343.88 = 8,176.16/x
  3. Step 3: Cross multiply
    26,894.50x = 40,343.88 × 8,176.16
  4. Step 4: Simplify right side
    26,894.50x = 329,858,017.90
  5. Step 5: Solve for x
    x = 329,858,017.90/26,894.50
  6. Step 6: Final answer
    x = 12,264.89

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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.