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Finding the Fourth Proportional to 8,356.06, 11,505.13 and 7,094.49

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Solution

The fourth proportional to 8,356.06, 11,505.13 and 7,094.49 is: 9,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.06 : 11,505.13 = 7,094.49 : x
  2. Step 2: Convert to fraction form
    8,356.06/11,505.13 = 7,094.49/x
  3. Step 3: Cross multiply
    8,356.06x = 11,505.13 × 7,094.49
  4. Step 4: Simplify right side
    8,356.06x = 81,623,029.73
  5. Step 5: Solve for x
    x = 81,623,029.73/8,356.06
  6. Step 6: Final answer
    x = 9,768.12

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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.