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Finding the Fourth Proportional to 9,894.60, 14,844.17 and 2,874.74

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Solution

The fourth proportional to 9,894.60, 14,844.17 and 2,874.74 is: 4,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.60 : 14,844.17 = 2,874.74 : x
  2. Step 2: Convert to fraction form
    9,894.60/14,844.17 = 2,874.74/x
  3. Step 3: Cross multiply
    9,894.60x = 14,844.17 × 2,874.74
  4. Step 4: Simplify right side
    9,894.60x = 42,673,062.23
  5. Step 5: Solve for x
    x = 42,673,062.23/9,894.60
  6. Step 6: Final answer
    x = 4,312.76

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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.