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Finding the Fourth Proportional to 7,062.78, 9,746.85 and 3,876.24

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Solution

The fourth proportional to 7,062.78, 9,746.85 and 3,876.24 is: 5,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.78 : 9,746.85 = 3,876.24 : x
  2. Step 2: Convert to fraction form
    7,062.78/9,746.85 = 3,876.24/x
  3. Step 3: Cross multiply
    7,062.78x = 9,746.85 × 3,876.24
  4. Step 4: Simplify right side
    7,062.78x = 37,781,129.84
  5. Step 5: Solve for x
    x = 37,781,129.84/7,062.78
  6. Step 6: Final answer
    x = 5,349.33

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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.