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Finding the Fourth Proportional to 10,650, 15,977.60 and 3,354

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Solution

The fourth proportional to 10,650, 15,977.60 and 3,354 is: 5,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650 : 15,977.60 = 3,354 : x
  2. Step 2: Convert to fraction form
    10,650/15,977.60 = 3,354/x
  3. Step 3: Cross multiply
    10,650x = 15,977.60 × 3,354
  4. Step 4: Simplify right side
    10,650x = 53,588,870.40
  5. Step 5: Solve for x
    x = 53,588,870.40/10,650
  6. Step 6: Final answer
    x = 5,031.82

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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.