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Finding the Fourth Proportional to 3,139.66, 4,709.49 and 948.34

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Solution

The fourth proportional to 3,139.66, 4,709.49 and 948.34 is: 1,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.66 : 4,709.49 = 948.34 : x
  2. Step 2: Convert to fraction form
    3,139.66/4,709.49 = 948.34/x
  3. Step 3: Cross multiply
    3,139.66x = 4,709.49 × 948.34
  4. Step 4: Simplify right side
    3,139.66x = 4,466,197.75
  5. Step 5: Solve for x
    x = 4,466,197.75/3,139.66
  6. Step 6: Final answer
    x = 1,422.51

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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.