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Finding the Fourth Proportional to 8,098.00, 11,152.89 and 6,978.53

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Solution

The fourth proportional to 8,098.00, 11,152.89 and 6,978.53 is: 9,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.00 : 11,152.89 = 6,978.53 : x
  2. Step 2: Convert to fraction form
    8,098.00/11,152.89 = 6,978.53/x
  3. Step 3: Cross multiply
    8,098.00x = 11,152.89 × 6,978.53
  4. Step 4: Simplify right side
    8,098.00x = 77,830,805.33
  5. Step 5: Solve for x
    x = 77,830,805.33/8,098.00
  6. Step 6: Final answer
    x = 9,611.12

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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.