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Finding the Fourth Proportional to 9,758.40, 14,599.20 and 8,836.80

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Solution

The fourth proportional to 9,758.40, 14,599.20 and 8,836.80 is: 13,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.40 : 14,599.20 = 8,836.80 : x
  2. Step 2: Convert to fraction form
    9,758.40/14,599.20 = 8,836.80/x
  3. Step 3: Cross multiply
    9,758.40x = 14,599.20 × 8,836.80
  4. Step 4: Simplify right side
    9,758.40x = 129,010,210.56
  5. Step 5: Solve for x
    x = 129,010,210.56/9,758.40
  6. Step 6: Final answer
    x = 13,220.43

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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.