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Finding the Fourth Proportional to 6,334.65, 9,502.02 and 1,952.10

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Solution

The fourth proportional to 6,334.65, 9,502.02 and 1,952.10 is: 2,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.65 : 9,502.02 = 1,952.10 : x
  2. Step 2: Convert to fraction form
    6,334.65/9,502.02 = 1,952.10/x
  3. Step 3: Cross multiply
    6,334.65x = 9,502.02 × 1,952.10
  4. Step 4: Simplify right side
    6,334.65x = 18,548,893.24
  5. Step 5: Solve for x
    x = 18,548,893.24/6,334.65
  6. Step 6: Final answer
    x = 2,928.16

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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.