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Finding the Fourth Proportional to 14,798.30, 22,186.52 and 6,998

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Solution

The fourth proportional to 14,798.30, 22,186.52 and 6,998 is: 10,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.30 : 22,186.52 = 6,998 : x
  2. Step 2: Convert to fraction form
    14,798.30/22,186.52 = 6,998/x
  3. Step 3: Cross multiply
    14,798.30x = 22,186.52 × 6,998
  4. Step 4: Simplify right side
    14,798.30x = 155,261,266.96
  5. Step 5: Solve for x
    x = 155,261,266.96/14,798.30
  6. Step 6: Final answer
    x = 10,491.83

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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.