Home / 10,983.20-16,462.98-4,746.14

Finding the Fourth Proportional to 10,983.20, 16,462.98 and 4,746.14

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Solution

The fourth proportional to 10,983.20, 16,462.98 and 4,746.14 is: 7,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.20 : 16,462.98 = 4,746.14 : x
  2. Step 2: Convert to fraction form
    10,983.20/16,462.98 = 4,746.14/x
  3. Step 3: Cross multiply
    10,983.20x = 16,462.98 × 4,746.14
  4. Step 4: Simplify right side
    10,983.20x = 78,135,607.90
  5. Step 5: Solve for x
    x = 78,135,607.90/10,983.20
  6. Step 6: Final answer
    x = 7,114.10

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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.