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Finding the Fourth Proportional to 4,894.71, 7,335.42 and 2,256.44

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Solution

The fourth proportional to 4,894.71, 7,335.42 and 2,256.44 is: 3,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.71 : 7,335.42 = 2,256.44 : x
  2. Step 2: Convert to fraction form
    4,894.71/7,335.42 = 2,256.44/x
  3. Step 3: Cross multiply
    4,894.71x = 7,335.42 × 2,256.44
  4. Step 4: Simplify right side
    4,894.71x = 16,551,898.43
  5. Step 5: Solve for x
    x = 16,551,898.43/4,894.71
  6. Step 6: Final answer
    x = 3,381.59

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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.