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Finding the Fourth Proportional to 14,698, 22,047.12 and 5,464

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Solution

The fourth proportional to 14,698, 22,047.12 and 5,464 is: 8,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 22,047.12 = 5,464 : x
  2. Step 2: Convert to fraction form
    14,698/22,047.12 = 5,464/x
  3. Step 3: Cross multiply
    14,698x = 22,047.12 × 5,464
  4. Step 4: Simplify right side
    14,698x = 120,465,463.68
  5. Step 5: Solve for x
    x = 120,465,463.68/14,698
  6. Step 6: Final answer
    x = 8,196.04

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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.