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Finding the Fourth Proportional to 4,903.27, 7,354.90 and 1,981.57

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Solution

The fourth proportional to 4,903.27, 7,354.90 and 1,981.57 is: 2,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.27 : 7,354.90 = 1,981.57 : x
  2. Step 2: Convert to fraction form
    4,903.27/7,354.90 = 1,981.57/x
  3. Step 3: Cross multiply
    4,903.27x = 7,354.90 × 1,981.57
  4. Step 4: Simplify right side
    4,903.27x = 14,574,253.43
  5. Step 5: Solve for x
    x = 14,574,253.43/4,903.27
  6. Step 6: Final answer
    x = 2,972.36

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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.