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Finding the Fourth Proportional to 14,596, 21,897.28 and 4,206.96

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Solution

The fourth proportional to 14,596, 21,897.28 and 4,206.96 is: 6,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596 : 21,897.28 = 4,206.96 : x
  2. Step 2: Convert to fraction form
    14,596/21,897.28 = 4,206.96/x
  3. Step 3: Cross multiply
    14,596x = 21,897.28 × 4,206.96
  4. Step 4: Simplify right side
    14,596x = 92,120,981.07
  5. Step 5: Solve for x
    x = 92,120,981.07/14,596
  6. Step 6: Final answer
    x = 6,311.39

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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.