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Finding the Fourth Proportional to 7,081.36, 9,773.06 and 4,097.16

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Solution

The fourth proportional to 7,081.36, 9,773.06 and 4,097.16 is: 5,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.36 : 9,773.06 = 4,097.16 : x
  2. Step 2: Convert to fraction form
    7,081.36/9,773.06 = 4,097.16/x
  3. Step 3: Cross multiply
    7,081.36x = 9,773.06 × 4,097.16
  4. Step 4: Simplify right side
    7,081.36x = 40,041,790.51
  5. Step 5: Solve for x
    x = 40,041,790.51/7,081.36
  6. Step 6: Final answer
    x = 5,654.53

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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.