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Finding the Fourth Proportional to 10,398, 14,353.56 and 7,414.32

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Solution

The fourth proportional to 10,398, 14,353.56 and 7,414.32 is: 10,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398 : 14,353.56 = 7,414.32 : x
  2. Step 2: Convert to fraction form
    10,398/14,353.56 = 7,414.32/x
  3. Step 3: Cross multiply
    10,398x = 14,353.56 × 7,414.32
  4. Step 4: Simplify right side
    10,398x = 106,421,886.98
  5. Step 5: Solve for x
    x = 106,421,886.98/10,398
  6. Step 6: Final answer
    x = 10,234.84

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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.