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Finding the Fourth Proportional to 9,849.65, 14,772.65 and 3,274.07

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Solution

The fourth proportional to 9,849.65, 14,772.65 and 3,274.07 is: 4,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.65 : 14,772.65 = 3,274.07 : x
  2. Step 2: Convert to fraction form
    9,849.65/14,772.65 = 3,274.07/x
  3. Step 3: Cross multiply
    9,849.65x = 14,772.65 × 3,274.07
  4. Step 4: Simplify right side
    9,849.65x = 48,366,599.95
  5. Step 5: Solve for x
    x = 48,366,599.95/9,849.65
  6. Step 6: Final answer
    x = 4,910.49

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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.