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Finding the Fourth Proportional to 9,851.75, 13,595.42 and 5,660

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Solution

The fourth proportional to 9,851.75, 13,595.42 and 5,660 is: 7,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.75 : 13,595.42 = 5,660 : x
  2. Step 2: Convert to fraction form
    9,851.75/13,595.42 = 5,660/x
  3. Step 3: Cross multiply
    9,851.75x = 13,595.42 × 5,660
  4. Step 4: Simplify right side
    9,851.75x = 76,950,077.20
  5. Step 5: Solve for x
    x = 76,950,077.20/9,851.75
  6. Step 6: Final answer
    x = 7,810.80

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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.