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Finding the Fourth Proportional to 14,857, 22,285.50 and 4,468.76

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Solution

The fourth proportional to 14,857, 22,285.50 and 4,468.76 is: 6,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857 : 22,285.50 = 4,468.76 : x
  2. Step 2: Convert to fraction form
    14,857/22,285.50 = 4,468.76/x
  3. Step 3: Cross multiply
    14,857x = 22,285.50 × 4,468.76
  4. Step 4: Simplify right side
    14,857x = 99,588,550.98
  5. Step 5: Solve for x
    x = 99,588,550.98/14,857
  6. Step 6: Final answer
    x = 6,703.14

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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.