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Finding the Fourth Proportional to 10,298.45, 14,214.21 and 6,050

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Solution

The fourth proportional to 10,298.45, 14,214.21 and 6,050 is: 8,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.45 : 14,214.21 = 6,050 : x
  2. Step 2: Convert to fraction form
    10,298.45/14,214.21 = 6,050/x
  3. Step 3: Cross multiply
    10,298.45x = 14,214.21 × 6,050
  4. Step 4: Simplify right side
    10,298.45x = 85,995,970.50
  5. Step 5: Solve for x
    x = 85,995,970.50/10,298.45
  6. Step 6: Final answer
    x = 8,350.38

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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.