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Finding the Fourth Proportional to 7,711.17, 11,573.23 and 7,225.17

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Solution

The fourth proportional to 7,711.17, 11,573.23 and 7,225.17 is: 10,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.17 : 11,573.23 = 7,225.17 : x
  2. Step 2: Convert to fraction form
    7,711.17/11,573.23 = 7,225.17/x
  3. Step 3: Cross multiply
    7,711.17x = 11,573.23 × 7,225.17
  4. Step 4: Simplify right side
    7,711.17x = 83,618,506.28
  5. Step 5: Solve for x
    x = 83,618,506.28/7,711.17
  6. Step 6: Final answer
    x = 10,843.82

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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.