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Finding the Fourth Proportional to 3,141.95, 4,712.31 and 950.16

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Solution

The fourth proportional to 3,141.95, 4,712.31 and 950.16 is: 1,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.95 : 4,712.31 = 950.16 : x
  2. Step 2: Convert to fraction form
    3,141.95/4,712.31 = 950.16/x
  3. Step 3: Cross multiply
    3,141.95x = 4,712.31 × 950.16
  4. Step 4: Simplify right side
    3,141.95x = 4,477,448.47
  5. Step 5: Solve for x
    x = 4,477,448.47/3,141.95
  6. Step 6: Final answer
    x = 1,425.06

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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.