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Finding the Fourth Proportional to 6,356.88, 9,535.42 and 1,974.06

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Solution

The fourth proportional to 6,356.88, 9,535.42 and 1,974.06 is: 2,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.88 : 9,535.42 = 1,974.06 : x
  2. Step 2: Convert to fraction form
    6,356.88/9,535.42 = 1,974.06/x
  3. Step 3: Cross multiply
    6,356.88x = 9,535.42 × 1,974.06
  4. Step 4: Simplify right side
    6,356.88x = 18,823,505.17
  5. Step 5: Solve for x
    x = 18,823,505.17/6,356.88
  6. Step 6: Final answer
    x = 2,961.12

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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.