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Finding the Fourth Proportional to 10,467, 15,699.34 and 3,071.52

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Solution

The fourth proportional to 10,467, 15,699.34 and 3,071.52 is: 4,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 15,699.34 = 3,071.52 : x
  2. Step 2: Convert to fraction form
    10,467/15,699.34 = 3,071.52/x
  3. Step 3: Cross multiply
    10,467x = 15,699.34 × 3,071.52
  4. Step 4: Simplify right side
    10,467x = 48,220,836.80
  5. Step 5: Solve for x
    x = 48,220,836.80/10,467
  6. Step 6: Final answer
    x = 4,606.94

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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.