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Finding the Fourth Proportional to 6,585.54, 9,877.27 and 1,967.46

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Solution

The fourth proportional to 6,585.54, 9,877.27 and 1,967.46 is: 2,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.54 : 9,877.27 = 1,967.46 : x
  2. Step 2: Convert to fraction form
    6,585.54/9,877.27 = 1,967.46/x
  3. Step 3: Cross multiply
    6,585.54x = 9,877.27 × 1,967.46
  4. Step 4: Simplify right side
    6,585.54x = 19,433,133.63
  5. Step 5: Solve for x
    x = 19,433,133.63/6,585.54
  6. Step 6: Final answer
    x = 2,950.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.