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Finding the Fourth Proportional to 3,151.54, 4,727.85 and 959.74

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Solution

The fourth proportional to 3,151.54, 4,727.85 and 959.74 is: 1,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.54 : 4,727.85 = 959.74 : x
  2. Step 2: Convert to fraction form
    3,151.54/4,727.85 = 959.74/x
  3. Step 3: Cross multiply
    3,151.54x = 4,727.85 × 959.74
  4. Step 4: Simplify right side
    3,151.54x = 4,537,506.76
  5. Step 5: Solve for x
    x = 4,537,506.76/3,151.54
  6. Step 6: Final answer
    x = 1,439.77

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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.