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Finding the Fourth Proportional to 3,175.92, 4,762.67 and 983.93

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Solution

The fourth proportional to 3,175.92, 4,762.67 and 983.93 is: 1,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.92 : 4,762.67 = 983.93 : x
  2. Step 2: Convert to fraction form
    3,175.92/4,762.67 = 983.93/x
  3. Step 3: Cross multiply
    3,175.92x = 4,762.67 × 983.93
  4. Step 4: Simplify right side
    3,175.92x = 4,686,105.16
  5. Step 5: Solve for x
    x = 4,686,105.16/3,175.92
  6. Step 6: Final answer
    x = 1,475.51

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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.