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Finding the Fourth Proportional to 9,843.36, 14,760.16 and 4,294.30

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Solution

The fourth proportional to 9,843.36, 14,760.16 and 4,294.30 is: 6,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.36 : 14,760.16 = 4,294.30 : x
  2. Step 2: Convert to fraction form
    9,843.36/14,760.16 = 4,294.30/x
  3. Step 3: Cross multiply
    9,843.36x = 14,760.16 × 4,294.30
  4. Step 4: Simplify right side
    9,843.36x = 63,384,555.09
  5. Step 5: Solve for x
    x = 63,384,555.09/9,843.36
  6. Step 6: Final answer
    x = 6,439.32

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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.