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Finding the Fourth Proportional to 3,895.74, 5,843.66 and 974.07

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Solution

The fourth proportional to 3,895.74, 5,843.66 and 974.07 is: 1,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.74 : 5,843.66 = 974.07 : x
  2. Step 2: Convert to fraction form
    3,895.74/5,843.66 = 974.07/x
  3. Step 3: Cross multiply
    3,895.74x = 5,843.66 × 974.07
  4. Step 4: Simplify right side
    3,895.74x = 5,692,129.03
  5. Step 5: Solve for x
    x = 5,692,129.03/3,895.74
  6. Step 6: Final answer
    x = 1,461.12

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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.