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Finding the Fourth Proportional to 9,492.69, 14,239.09 and 6,226.47

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Solution

The fourth proportional to 9,492.69, 14,239.09 and 6,226.47 is: 9,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.69 : 14,239.09 = 6,226.47 : x
  2. Step 2: Convert to fraction form
    9,492.69/14,239.09 = 6,226.47/x
  3. Step 3: Cross multiply
    9,492.69x = 14,239.09 × 6,226.47
  4. Step 4: Simplify right side
    9,492.69x = 88,659,251.15
  5. Step 5: Solve for x
    x = 88,659,251.15/9,492.69
  6. Step 6: Final answer
    x = 9,339.74

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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.