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Finding the Fourth Proportional to 9,889.72, 14,803.62 and 5,493.04

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Solution

The fourth proportional to 9,889.72, 14,803.62 and 5,493.04 is: 8,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.72 : 14,803.62 = 5,493.04 : x
  2. Step 2: Convert to fraction form
    9,889.72/14,803.62 = 5,493.04/x
  3. Step 3: Cross multiply
    9,889.72x = 14,803.62 × 5,493.04
  4. Step 4: Simplify right side
    9,889.72x = 81,316,876.80
  5. Step 5: Solve for x
    x = 81,316,876.80/9,889.72
  6. Step 6: Final answer
    x = 8,222.36

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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.