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Finding the Fourth Proportional to 11,597.57, 15,994.08 and 9,808.79

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Solution

The fourth proportional to 11,597.57, 15,994.08 and 9,808.79 is: 13,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.57 : 15,994.08 = 9,808.79 : x
  2. Step 2: Convert to fraction form
    11,597.57/15,994.08 = 9,808.79/x
  3. Step 3: Cross multiply
    11,597.57x = 15,994.08 × 9,808.79
  4. Step 4: Simplify right side
    11,597.57x = 156,882,611.95
  5. Step 5: Solve for x
    x = 156,882,611.95/11,597.57
  6. Step 6: Final answer
    x = 13,527.20

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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.