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Finding the Fourth Proportional to 9,853.54, 14,776.54 and 4,230.70

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Solution

The fourth proportional to 9,853.54, 14,776.54 and 4,230.70 is: 6,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.54 : 14,776.54 = 4,230.70 : x
  2. Step 2: Convert to fraction form
    9,853.54/14,776.54 = 4,230.70/x
  3. Step 3: Cross multiply
    9,853.54x = 14,776.54 × 4,230.70
  4. Step 4: Simplify right side
    9,853.54x = 62,515,107.78
  5. Step 5: Solve for x
    x = 62,515,107.78/9,853.54
  6. Step 6: Final answer
    x = 6,344.43

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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.