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Finding the Fourth Proportional to 9,891.02, 14,836.49 and 4,047.63

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Solution

The fourth proportional to 9,891.02, 14,836.49 and 4,047.63 is: 6,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.02 : 14,836.49 = 4,047.63 : x
  2. Step 2: Convert to fraction form
    9,891.02/14,836.49 = 4,047.63/x
  3. Step 3: Cross multiply
    9,891.02x = 14,836.49 × 4,047.63
  4. Step 4: Simplify right side
    9,891.02x = 60,052,601.78
  5. Step 5: Solve for x
    x = 60,052,601.78/9,891.02
  6. Step 6: Final answer
    x = 6,071.43

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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.