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Finding the Fourth Proportional to 6,531.98, 9,011.98 and 3,699.06

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Solution

The fourth proportional to 6,531.98, 9,011.98 and 3,699.06 is: 5,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.98 : 9,011.98 = 3,699.06 : x
  2. Step 2: Convert to fraction form
    6,531.98/9,011.98 = 3,699.06/x
  3. Step 3: Cross multiply
    6,531.98x = 9,011.98 × 3,699.06
  4. Step 4: Simplify right side
    6,531.98x = 33,335,854.74
  5. Step 5: Solve for x
    x = 33,335,854.74/6,531.98
  6. Step 6: Final answer
    x = 5,103.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.