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Finding the Fourth Proportional to 7,491.62, 10,342.06 and 5,809.14

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Solution

The fourth proportional to 7,491.62, 10,342.06 and 5,809.14 is: 8,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.62 : 10,342.06 = 5,809.14 : x
  2. Step 2: Convert to fraction form
    7,491.62/10,342.06 = 5,809.14/x
  3. Step 3: Cross multiply
    7,491.62x = 10,342.06 × 5,809.14
  4. Step 4: Simplify right side
    7,491.62x = 60,078,459.91
  5. Step 5: Solve for x
    x = 60,078,459.91/7,491.62
  6. Step 6: Final answer
    x = 8,019.42

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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.