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Finding the Fourth Proportional to 7,026.76, 9,697.89 and 4,042.54

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Solution

The fourth proportional to 7,026.76, 9,697.89 and 4,042.54 is: 5,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.76 : 9,697.89 = 4,042.54 : x
  2. Step 2: Convert to fraction form
    7,026.76/9,697.89 = 4,042.54/x
  3. Step 3: Cross multiply
    7,026.76x = 9,697.89 × 4,042.54
  4. Step 4: Simplify right side
    7,026.76x = 39,204,108.24
  5. Step 5: Solve for x
    x = 39,204,108.24/7,026.76
  6. Step 6: Final answer
    x = 5,579.26

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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.