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Finding the Fourth Proportional to 14,397, 21,595.50 and 6,189

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Solution

The fourth proportional to 14,397, 21,595.50 and 6,189 is: 9,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397 : 21,595.50 = 6,189 : x
  2. Step 2: Convert to fraction form
    14,397/21,595.50 = 6,189/x
  3. Step 3: Cross multiply
    14,397x = 21,595.50 × 6,189
  4. Step 4: Simplify right side
    14,397x = 133,654,549.50
  5. Step 5: Solve for x
    x = 133,654,549.50/14,397
  6. Step 6: Final answer
    x = 9,283.50

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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.