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Finding the Fourth Proportional to 9,164.06, 13,753.00 and 6,705.22

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Solution

The fourth proportional to 9,164.06, 13,753.00 and 6,705.22 is: 10,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.06 : 13,753.00 = 6,705.22 : x
  2. Step 2: Convert to fraction form
    9,164.06/13,753.00 = 6,705.22/x
  3. Step 3: Cross multiply
    9,164.06x = 13,753.00 × 6,705.22
  4. Step 4: Simplify right side
    9,164.06x = 92,216,891.09
  5. Step 5: Solve for x
    x = 92,216,891.09/9,164.06
  6. Step 6: Final answer
    x = 10,062.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.