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Finding the Fourth Proportional to 3,278.02, 4,916.49 and 969.52

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Solution

The fourth proportional to 3,278.02, 4,916.49 and 969.52 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.02 : 4,916.49 = 969.52 : x
  2. Step 2: Convert to fraction form
    3,278.02/4,916.49 = 969.52/x
  3. Step 3: Cross multiply
    3,278.02x = 4,916.49 × 969.52
  4. Step 4: Simplify right side
    3,278.02x = 4,766,635.38
  5. Step 5: Solve for x
    x = 4,766,635.38/3,278.02
  6. Step 6: Final answer
    x = 1,454.12

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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.