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Finding the Fourth Proportional to 6,577.34, 9,866.61 and 1,897.29

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Solution

The fourth proportional to 6,577.34, 9,866.61 and 1,897.29 is: 2,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.34 : 9,866.61 = 1,897.29 : x
  2. Step 2: Convert to fraction form
    6,577.34/9,866.61 = 1,897.29/x
  3. Step 3: Cross multiply
    6,577.34x = 9,866.61 × 1,897.29
  4. Step 4: Simplify right side
    6,577.34x = 18,719,820.49
  5. Step 5: Solve for x
    x = 18,719,820.49/6,577.34
  6. Step 6: Final answer
    x = 2,846.11

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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.