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Finding the Fourth Proportional to 6,656.87, 9,985.31 and 2,274.36

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Solution

The fourth proportional to 6,656.87, 9,985.31 and 2,274.36 is: 3,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.87 : 9,985.31 = 2,274.36 : x
  2. Step 2: Convert to fraction form
    6,656.87/9,985.31 = 2,274.36/x
  3. Step 3: Cross multiply
    6,656.87x = 9,985.31 × 2,274.36
  4. Step 4: Simplify right side
    6,656.87x = 22,710,178.28
  5. Step 5: Solve for x
    x = 22,710,178.28/6,656.87
  6. Step 6: Final answer
    x = 3,411.54

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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.