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Finding the Fourth Proportional to 9,810, 13,534.81 and 5,560.38

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Solution

The fourth proportional to 9,810, 13,534.81 and 5,560.38 is: 7,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 13,534.81 = 5,560.38 : x
  2. Step 2: Convert to fraction form
    9,810/13,534.81 = 5,560.38/x
  3. Step 3: Cross multiply
    9,810x = 13,534.81 × 5,560.38
  4. Step 4: Simplify right side
    9,810x = 75,258,672.93
  5. Step 5: Solve for x
    x = 75,258,672.93/9,810
  6. Step 6: Final answer
    x = 7,671.63

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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.