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Finding the Fourth Proportional to 10,294.56, 14,205.24 and 6,102

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Solution

The fourth proportional to 10,294.56, 14,205.24 and 6,102 is: 8,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.56 : 14,205.24 = 6,102 : x
  2. Step 2: Convert to fraction form
    10,294.56/14,205.24 = 6,102/x
  3. Step 3: Cross multiply
    10,294.56x = 14,205.24 × 6,102
  4. Step 4: Simplify right side
    10,294.56x = 86,680,374.48
  5. Step 5: Solve for x
    x = 86,680,374.48/10,294.56
  6. Step 6: Final answer
    x = 8,420.02

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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.