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Finding the Fourth Proportional to 3,983.04, 5,973.48 and 1,674

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Solution

The fourth proportional to 3,983.04, 5,973.48 and 1,674 is: 2,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.04 : 5,973.48 = 1,674 : x
  2. Step 2: Convert to fraction form
    3,983.04/5,973.48 = 1,674/x
  3. Step 3: Cross multiply
    3,983.04x = 5,973.48 × 1,674
  4. Step 4: Simplify right side
    3,983.04x = 9,999,605.52
  5. Step 5: Solve for x
    x = 9,999,605.52/3,983.04
  6. Step 6: Final answer
    x = 2,510.55

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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.