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Finding the Fourth Proportional to 10,448.88, 15,670.86 and 6,233.31

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Solution

The fourth proportional to 10,448.88, 15,670.86 and 6,233.31 is: 9,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.88 : 15,670.86 = 6,233.31 : x
  2. Step 2: Convert to fraction form
    10,448.88/15,670.86 = 6,233.31/x
  3. Step 3: Cross multiply
    10,448.88x = 15,670.86 × 6,233.31
  4. Step 4: Simplify right side
    10,448.88x = 97,681,328.35
  5. Step 5: Solve for x
    x = 97,681,328.35/10,448.88
  6. Step 6: Final answer
    x = 9,348.50

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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.