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Finding the Fourth Proportional to 7,711.26, 10,642.91 and 7,360.67

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Solution

The fourth proportional to 7,711.26, 10,642.91 and 7,360.67 is: 10,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.26 : 10,642.91 = 7,360.67 : x
  2. Step 2: Convert to fraction form
    7,711.26/10,642.91 = 7,360.67/x
  3. Step 3: Cross multiply
    7,711.26x = 10,642.91 × 7,360.67
  4. Step 4: Simplify right side
    7,711.26x = 78,338,858.33
  5. Step 5: Solve for x
    x = 78,338,858.33/7,711.26
  6. Step 6: Final answer
    x = 10,159.02

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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.