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Finding the Fourth Proportional to 7,169.95, 9,908.22 and 5,398.48

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Solution

The fourth proportional to 7,169.95, 9,908.22 and 5,398.48 is: 7,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.95 : 9,908.22 = 5,398.48 : x
  2. Step 2: Convert to fraction form
    7,169.95/9,908.22 = 5,398.48/x
  3. Step 3: Cross multiply
    7,169.95x = 9,908.22 × 5,398.48
  4. Step 4: Simplify right side
    7,169.95x = 53,489,327.51
  5. Step 5: Solve for x
    x = 53,489,327.51/7,169.95
  6. Step 6: Final answer
    x = 7,460.21

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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.