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Finding the Fourth Proportional to 6,527.49, 9,007.99 and 3,837.99

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Solution

The fourth proportional to 6,527.49, 9,007.99 and 3,837.99 is: 5,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.49 : 9,007.99 = 3,837.99 : x
  2. Step 2: Convert to fraction form
    6,527.49/9,007.99 = 3,837.99/x
  3. Step 3: Cross multiply
    6,527.49x = 9,007.99 × 3,837.99
  4. Step 4: Simplify right side
    6,527.49x = 34,572,532.17
  5. Step 5: Solve for x
    x = 34,572,532.17/6,527.49
  6. Step 6: Final answer
    x = 5,296.45

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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.