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Finding the Fourth Proportional to 7,154.22, 9,873 and 4,010.34

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Solution

The fourth proportional to 7,154.22, 9,873 and 4,010.34 is: 5,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.22 : 9,873 = 4,010.34 : x
  2. Step 2: Convert to fraction form
    7,154.22/9,873 = 4,010.34/x
  3. Step 3: Cross multiply
    7,154.22x = 9,873 × 4,010.34
  4. Step 4: Simplify right side
    7,154.22x = 39,594,086.82
  5. Step 5: Solve for x
    x = 39,594,086.82/7,154.22
  6. Step 6: Final answer
    x = 5,534.37

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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.