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Finding the Fourth Proportional to 9,711.90, 13,384.04 and 7,795.44

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Solution

The fourth proportional to 9,711.90, 13,384.04 and 7,795.44 is: 10,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.90 : 13,384.04 = 7,795.44 : x
  2. Step 2: Convert to fraction form
    9,711.90/13,384.04 = 7,795.44/x
  3. Step 3: Cross multiply
    9,711.90x = 13,384.04 × 7,795.44
  4. Step 4: Simplify right side
    9,711.90x = 104,334,441.80
  5. Step 5: Solve for x
    x = 104,334,441.80/9,711.90
  6. Step 6: Final answer
    x = 10,742.95

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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.