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Finding the Fourth Proportional to 9,874.44, 14,794.38 and 8,312.76

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Solution

The fourth proportional to 9,874.44, 14,794.38 and 8,312.76 is: 12,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.44 : 14,794.38 = 8,312.76 : x
  2. Step 2: Convert to fraction form
    9,874.44/14,794.38 = 8,312.76/x
  3. Step 3: Cross multiply
    9,874.44x = 14,794.38 × 8,312.76
  4. Step 4: Simplify right side
    9,874.44x = 122,982,130.29
  5. Step 5: Solve for x
    x = 122,982,130.29/9,874.44
  6. Step 6: Final answer
    x = 12,454.59

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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.