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Finding the Fourth Proportional to 10,643.70, 15,952.59 and 9,323.94

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Solution

The fourth proportional to 10,643.70, 15,952.59 and 9,323.94 is: 13,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.70 : 15,952.59 = 9,323.94 : x
  2. Step 2: Convert to fraction form
    10,643.70/15,952.59 = 9,323.94/x
  3. Step 3: Cross multiply
    10,643.70x = 15,952.59 × 9,323.94
  4. Step 4: Simplify right side
    10,643.70x = 148,740,992.00
  5. Step 5: Solve for x
    x = 148,740,992.00/10,643.70
  6. Step 6: Final answer
    x = 13,974.56

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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.