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Finding the Fourth Proportional to 6,551.86, 9,829.44 and 2,853.16

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Solution

The fourth proportional to 6,551.86, 9,829.44 and 2,853.16 is: 4,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.86 : 9,829.44 = 2,853.16 : x
  2. Step 2: Convert to fraction form
    6,551.86/9,829.44 = 2,853.16/x
  3. Step 3: Cross multiply
    6,551.86x = 9,829.44 × 2,853.16
  4. Step 4: Simplify right side
    6,551.86x = 28,044,965.03
  5. Step 5: Solve for x
    x = 28,044,965.03/6,551.86
  6. Step 6: Final answer
    x = 4,280.46

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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.