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Finding the Fourth Proportional to 9,843.71, 14,771.69 and 4,000.32

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Solution

The fourth proportional to 9,843.71, 14,771.69 and 4,000.32 is: 6,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.71 : 14,771.69 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    9,843.71/14,771.69 = 4,000.32/x
  3. Step 3: Cross multiply
    9,843.71x = 14,771.69 × 4,000.32
  4. Step 4: Simplify right side
    9,843.71x = 59,091,486.94
  5. Step 5: Solve for x
    x = 59,091,486.94/9,843.71
  6. Step 6: Final answer
    x = 6,002.97

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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.