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Finding the Fourth Proportional to 8,539.98, 11,796.38 and 6,547.08

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Solution

The fourth proportional to 8,539.98, 11,796.38 and 6,547.08 is: 9,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.98 : 11,796.38 = 6,547.08 : x
  2. Step 2: Convert to fraction form
    8,539.98/11,796.38 = 6,547.08/x
  3. Step 3: Cross multiply
    8,539.98x = 11,796.38 × 6,547.08
  4. Step 4: Simplify right side
    8,539.98x = 77,231,843.57
  5. Step 5: Solve for x
    x = 77,231,843.57/8,539.98
  6. Step 6: Final answer
    x = 9,043.56

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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.