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Finding the Fourth Proportional to 6,569.01, 9,065.25 and 3,736.32

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Solution

The fourth proportional to 6,569.01, 9,065.25 and 3,736.32 is: 5,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.01 : 9,065.25 = 3,736.32 : x
  2. Step 2: Convert to fraction form
    6,569.01/9,065.25 = 3,736.32/x
  3. Step 3: Cross multiply
    6,569.01x = 9,065.25 × 3,736.32
  4. Step 4: Simplify right side
    6,569.01x = 33,870,674.88
  5. Step 5: Solve for x
    x = 33,870,674.88/6,569.01
  6. Step 6: Final answer
    x = 5,156.13

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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.