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Finding the Fourth Proportional to 6,356.70, 9,534.74 and 1,974.20

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Solution

The fourth proportional to 6,356.70, 9,534.74 and 1,974.20 is: 2,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.70 : 9,534.74 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    6,356.70/9,534.74 = 1,974.20/x
  3. Step 3: Cross multiply
    6,356.70x = 9,534.74 × 1,974.20
  4. Step 4: Simplify right side
    6,356.70x = 18,823,426.16
  5. Step 5: Solve for x
    x = 18,823,426.16/6,356.70
  6. Step 6: Final answer
    x = 2,961.19

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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.