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Finding the Fourth Proportional to 8,549.84, 11,802.02 and 7,350.03

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Solution

The fourth proportional to 8,549.84, 11,802.02 and 7,350.03 is: 10,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.84 : 11,802.02 = 7,350.03 : x
  2. Step 2: Convert to fraction form
    8,549.84/11,802.02 = 7,350.03/x
  3. Step 3: Cross multiply
    8,549.84x = 11,802.02 × 7,350.03
  4. Step 4: Simplify right side
    8,549.84x = 86,745,164.31
  5. Step 5: Solve for x
    x = 86,745,164.31/8,549.84
  6. Step 6: Final answer
    x = 10,145.83

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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.