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Finding the Fourth Proportional to 9,803.25, 14,722.29 and 9,021.60

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Solution

The fourth proportional to 9,803.25, 14,722.29 and 9,021.60 is: 13,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.25 : 14,722.29 = 9,021.60 : x
  2. Step 2: Convert to fraction form
    9,803.25/14,722.29 = 9,021.60/x
  3. Step 3: Cross multiply
    9,803.25x = 14,722.29 × 9,021.60
  4. Step 4: Simplify right side
    9,803.25x = 132,818,611.46
  5. Step 5: Solve for x
    x = 132,818,611.46/9,803.25
  6. Step 6: Final answer
    x = 13,548.43

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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.