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Finding the Fourth Proportional to 6,559.04, 9,829.91 and 2,661.32

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Solution

The fourth proportional to 6,559.04, 9,829.91 and 2,661.32 is: 3,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.04 : 9,829.91 = 2,661.32 : x
  2. Step 2: Convert to fraction form
    6,559.04/9,829.91 = 2,661.32/x
  3. Step 3: Cross multiply
    6,559.04x = 9,829.91 × 2,661.32
  4. Step 4: Simplify right side
    6,559.04x = 26,160,567.31
  5. Step 5: Solve for x
    x = 26,160,567.31/6,559.04
  6. Step 6: Final answer
    x = 3,988.47

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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.