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Finding the Fourth Proportional to 14,962, 22,445.88 and 6,754

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Solution

The fourth proportional to 14,962, 22,445.88 and 6,754 is: 10,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962 : 22,445.88 = 6,754 : x
  2. Step 2: Convert to fraction form
    14,962/22,445.88 = 6,754/x
  3. Step 3: Cross multiply
    14,962x = 22,445.88 × 6,754
  4. Step 4: Simplify right side
    14,962x = 151,599,473.52
  5. Step 5: Solve for x
    x = 151,599,473.52/14,962
  6. Step 6: Final answer
    x = 10,132.30

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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.