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Finding the Fourth Proportional to 9,017.12, 13,526 and 2,443.48

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Solution

The fourth proportional to 9,017.12, 13,526 and 2,443.48 is: 3,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.12 : 13,526 = 2,443.48 : x
  2. Step 2: Convert to fraction form
    9,017.12/13,526 = 2,443.48/x
  3. Step 3: Cross multiply
    9,017.12x = 13,526 × 2,443.48
  4. Step 4: Simplify right side
    9,017.12x = 33,050,510.48
  5. Step 5: Solve for x
    x = 33,050,510.48/9,017.12
  6. Step 6: Final answer
    x = 3,665.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.