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Finding the Fourth Proportional to 6,574.70, 9,073.14 and 3,742.29

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Solution

The fourth proportional to 6,574.70, 9,073.14 and 3,742.29 is: 5,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.70 : 9,073.14 = 3,742.29 : x
  2. Step 2: Convert to fraction form
    6,574.70/9,073.14 = 3,742.29/x
  3. Step 3: Cross multiply
    6,574.70x = 9,073.14 × 3,742.29
  4. Step 4: Simplify right side
    6,574.70x = 33,954,302.38
  5. Step 5: Solve for x
    x = 33,954,302.38/6,574.70
  6. Step 6: Final answer
    x = 5,164.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.