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Finding the Fourth Proportional to 6,894.23, 9,512.38 and 4,061.39

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Solution

The fourth proportional to 6,894.23, 9,512.38 and 4,061.39 is: 5,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.23 : 9,512.38 = 4,061.39 : x
  2. Step 2: Convert to fraction form
    6,894.23/9,512.38 = 4,061.39/x
  3. Step 3: Cross multiply
    6,894.23x = 9,512.38 × 4,061.39
  4. Step 4: Simplify right side
    6,894.23x = 38,633,427.29
  5. Step 5: Solve for x
    x = 38,633,427.29/6,894.23
  6. Step 6: Final answer
    x = 5,603.74

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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.