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Finding the Fourth Proportional to 11,046.90, 15,243.03 and 6,570.57

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Solution

The fourth proportional to 11,046.90, 15,243.03 and 6,570.57 is: 9,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.90 : 15,243.03 = 6,570.57 : x
  2. Step 2: Convert to fraction form
    11,046.90/15,243.03 = 6,570.57/x
  3. Step 3: Cross multiply
    11,046.90x = 15,243.03 × 6,570.57
  4. Step 4: Simplify right side
    11,046.90x = 100,155,395.63
  5. Step 5: Solve for x
    x = 100,155,395.63/11,046.90
  6. Step 6: Final answer
    x = 9,066.38

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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.