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Finding the Fourth Proportional to 7,766.19, 11,592.95 and 7,187.99

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Solution

The fourth proportional to 7,766.19, 11,592.95 and 7,187.99 is: 10,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.19 : 11,592.95 = 7,187.99 : x
  2. Step 2: Convert to fraction form
    7,766.19/11,592.95 = 7,187.99/x
  3. Step 3: Cross multiply
    7,766.19x = 11,592.95 × 7,187.99
  4. Step 4: Simplify right side
    7,766.19x = 83,329,914.77
  5. Step 5: Solve for x
    x = 83,329,914.77/7,766.19
  6. Step 6: Final answer
    x = 10,729.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.