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Finding the Fourth Proportional to 6,566.51, 9,826.65 and 4,102.49

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Solution

The fourth proportional to 6,566.51, 9,826.65 and 4,102.49 is: 6,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.51 : 9,826.65 = 4,102.49 : x
  2. Step 2: Convert to fraction form
    6,566.51/9,826.65 = 4,102.49/x
  3. Step 3: Cross multiply
    6,566.51x = 9,826.65 × 4,102.49
  4. Step 4: Simplify right side
    6,566.51x = 40,313,733.36
  5. Step 5: Solve for x
    x = 40,313,733.36/6,566.51
  6. Step 6: Final answer
    x = 6,139.29

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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.