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Finding the Fourth Proportional to 19,244, 28,866.84 and 6,097.34

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Solution

The fourth proportional to 19,244, 28,866.84 and 6,097.34 is: 9,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 28,866.84 = 6,097.34 : x
  2. Step 2: Convert to fraction form
    19,244/28,866.84 = 6,097.34/x
  3. Step 3: Cross multiply
    19,244x = 28,866.84 × 6,097.34
  4. Step 4: Simplify right side
    19,244x = 176,010,938.21
  5. Step 5: Solve for x
    x = 176,010,938.21/19,244
  6. Step 6: Final answer
    x = 9,146.28

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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.