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Finding the Fourth Proportional to 3,434.81, 5,152.14 and 969.57

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Solution

The fourth proportional to 3,434.81, 5,152.14 and 969.57 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.81 : 5,152.14 = 969.57 : x
  2. Step 2: Convert to fraction form
    3,434.81/5,152.14 = 969.57/x
  3. Step 3: Cross multiply
    3,434.81x = 5,152.14 × 969.57
  4. Step 4: Simplify right side
    3,434.81x = 4,995,360.38
  5. Step 5: Solve for x
    x = 4,995,360.38/3,434.81
  6. Step 6: Final answer
    x = 1,454.34

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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.