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Finding the Fourth Proportional to 9,872.40, 14,819.40 and 6,178.80

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Solution

The fourth proportional to 9,872.40, 14,819.40 and 6,178.80 is: 9,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.40 : 14,819.40 = 6,178.80 : x
  2. Step 2: Convert to fraction form
    9,872.40/14,819.40 = 6,178.80/x
  3. Step 3: Cross multiply
    9,872.40x = 14,819.40 × 6,178.80
  4. Step 4: Simplify right side
    9,872.40x = 91,566,108.72
  5. Step 5: Solve for x
    x = 91,566,108.72/9,872.40
  6. Step 6: Final answer
    x = 9,274.96

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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.