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Finding the Fourth Proportional to 6,473, 8,927.88 and 4,486.88

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Solution

The fourth proportional to 6,473, 8,927.88 and 4,486.88 is: 6,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473 : 8,927.88 = 4,486.88 : x
  2. Step 2: Convert to fraction form
    6,473/8,927.88 = 4,486.88/x
  3. Step 3: Cross multiply
    6,473x = 8,927.88 × 4,486.88
  4. Step 4: Simplify right side
    6,473x = 40,058,326.21
  5. Step 5: Solve for x
    x = 40,058,326.21/6,473
  6. Step 6: Final answer
    x = 6,188.53

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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.