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Finding the Fourth Proportional to 9,820.88, 13,552.82 and 5,629.13

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Solution

The fourth proportional to 9,820.88, 13,552.82 and 5,629.13 is: 7,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.88 : 13,552.82 = 5,629.13 : x
  2. Step 2: Convert to fraction form
    9,820.88/13,552.82 = 5,629.13/x
  3. Step 3: Cross multiply
    9,820.88x = 13,552.82 × 5,629.13
  4. Step 4: Simplify right side
    9,820.88x = 76,290,489.74
  5. Step 5: Solve for x
    x = 76,290,489.74/9,820.88
  6. Step 6: Final answer
    x = 7,768.20

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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.