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Finding the Fourth Proportional to 3,148.04, 4,721.75 and 956.78

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Solution

The fourth proportional to 3,148.04, 4,721.75 and 956.78 is: 1,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.04 : 4,721.75 = 956.78 : x
  2. Step 2: Convert to fraction form
    3,148.04/4,721.75 = 956.78/x
  3. Step 3: Cross multiply
    3,148.04x = 4,721.75 × 956.78
  4. Step 4: Simplify right side
    3,148.04x = 4,517,647.57
  5. Step 5: Solve for x
    x = 4,517,647.57/3,148.04
  6. Step 6: Final answer
    x = 1,435.07

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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.