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Finding the Fourth Proportional to 7,062.79, 9,746.46 and 3,876.07

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Solution

The fourth proportional to 7,062.79, 9,746.46 and 3,876.07 is: 5,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.79 : 9,746.46 = 3,876.07 : x
  2. Step 2: Convert to fraction form
    7,062.79/9,746.46 = 3,876.07/x
  3. Step 3: Cross multiply
    7,062.79x = 9,746.46 × 3,876.07
  4. Step 4: Simplify right side
    7,062.79x = 37,777,961.21
  5. Step 5: Solve for x
    x = 37,777,961.21/7,062.79
  6. Step 6: Final answer
    x = 5,348.87

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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.