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Finding the Fourth Proportional to 3,174.63, 4,761.95 and 983.46

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Solution

The fourth proportional to 3,174.63, 4,761.95 and 983.46 is: 1,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.63 : 4,761.95 = 983.46 : x
  2. Step 2: Convert to fraction form
    3,174.63/4,761.95 = 983.46/x
  3. Step 3: Cross multiply
    3,174.63x = 4,761.95 × 983.46
  4. Step 4: Simplify right side
    3,174.63x = 4,683,182.43
  5. Step 5: Solve for x
    x = 4,683,182.43/3,174.63
  6. Step 6: Final answer
    x = 1,475.19

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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.