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Finding the Fourth Proportional to 9,339.84, 14,009.76 and 3,496.44

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Solution

The fourth proportional to 9,339.84, 14,009.76 and 3,496.44 is: 5,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.84 : 14,009.76 = 3,496.44 : x
  2. Step 2: Convert to fraction form
    9,339.84/14,009.76 = 3,496.44/x
  3. Step 3: Cross multiply
    9,339.84x = 14,009.76 × 3,496.44
  4. Step 4: Simplify right side
    9,339.84x = 48,984,285.25
  5. Step 5: Solve for x
    x = 48,984,285.25/9,339.84
  6. Step 6: Final answer
    x = 5,244.66

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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.