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Finding the Fourth Proportional to 8,681.82, 11,968.47 and 6,193.50

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Solution

The fourth proportional to 8,681.82, 11,968.47 and 6,193.50 is: 8,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.82 : 11,968.47 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    8,681.82/11,968.47 = 6,193.50/x
  3. Step 3: Cross multiply
    8,681.82x = 11,968.47 × 6,193.50
  4. Step 4: Simplify right side
    8,681.82x = 74,126,718.95
  5. Step 5: Solve for x
    x = 74,126,718.95/8,681.82
  6. Step 6: Final answer
    x = 8,538.15

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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.