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Finding the Fourth Proportional to 3,377.52, 5,066.54 and 912.31

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Solution

The fourth proportional to 3,377.52, 5,066.54 and 912.31 is: 1,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.52 : 5,066.54 = 912.31 : x
  2. Step 2: Convert to fraction form
    3,377.52/5,066.54 = 912.31/x
  3. Step 3: Cross multiply
    3,377.52x = 5,066.54 × 912.31
  4. Step 4: Simplify right side
    3,377.52x = 4,622,225.21
  5. Step 5: Solve for x
    x = 4,622,225.21/3,377.52
  6. Step 6: Final answer
    x = 1,368.53

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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.