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Finding the Fourth Proportional to 11,697.84, 17,549.20 and 3,802.32

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Solution

The fourth proportional to 11,697.84, 17,549.20 and 3,802.32 is: 5,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.84 : 17,549.20 = 3,802.32 : x
  2. Step 2: Convert to fraction form
    11,697.84/17,549.20 = 3,802.32/x
  3. Step 3: Cross multiply
    11,697.84x = 17,549.20 × 3,802.32
  4. Step 4: Simplify right side
    11,697.84x = 66,727,674.14
  5. Step 5: Solve for x
    x = 66,727,674.14/11,697.84
  6. Step 6: Final answer
    x = 5,704.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.