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Finding the Fourth Proportional to 9,809.12, 14,621.28 and 9,021.80

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Solution

The fourth proportional to 9,809.12, 14,621.28 and 9,021.80 is: 13,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.12 : 14,621.28 = 9,021.80 : x
  2. Step 2: Convert to fraction form
    9,809.12/14,621.28 = 9,021.80/x
  3. Step 3: Cross multiply
    9,809.12x = 14,621.28 × 9,021.80
  4. Step 4: Simplify right side
    9,809.12x = 131,910,263.90
  5. Step 5: Solve for x
    x = 131,910,263.90/9,809.12
  6. Step 6: Final answer
    x = 13,447.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.