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Finding the Fourth Proportional to 9,797.63, 14,699.48 and 2,872.13

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Solution

The fourth proportional to 9,797.63, 14,699.48 and 2,872.13 is: 4,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.63 : 14,699.48 = 2,872.13 : x
  2. Step 2: Convert to fraction form
    9,797.63/14,699.48 = 2,872.13/x
  3. Step 3: Cross multiply
    9,797.63x = 14,699.48 × 2,872.13
  4. Step 4: Simplify right side
    9,797.63x = 42,218,729.63
  5. Step 5: Solve for x
    x = 42,218,729.63/9,797.63
  6. Step 6: Final answer
    x = 4,309.08

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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.