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Finding the Fourth Proportional to 9,797.12, 13,518.90 and 5,604.56

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Solution

The fourth proportional to 9,797.12, 13,518.90 and 5,604.56 is: 7,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.12 : 13,518.90 = 5,604.56 : x
  2. Step 2: Convert to fraction form
    9,797.12/13,518.90 = 5,604.56/x
  3. Step 3: Cross multiply
    9,797.12x = 13,518.90 × 5,604.56
  4. Step 4: Simplify right side
    9,797.12x = 75,767,486.18
  5. Step 5: Solve for x
    x = 75,767,486.18/9,797.12
  6. Step 6: Final answer
    x = 7,733.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.