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Finding the Fourth Proportional to 6,679.64, 10,019.48 and 2,784

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Solution

The fourth proportional to 6,679.64, 10,019.48 and 2,784 is: 4,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.64 : 10,019.48 = 2,784 : x
  2. Step 2: Convert to fraction form
    6,679.64/10,019.48 = 2,784/x
  3. Step 3: Cross multiply
    6,679.64x = 10,019.48 × 2,784
  4. Step 4: Simplify right side
    6,679.64x = 27,894,232.32
  5. Step 5: Solve for x
    x = 27,894,232.32/6,679.64
  6. Step 6: Final answer
    x = 4,176.01

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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.