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Finding the Fourth Proportional to 7,493.99, 10,266.66 and 7,213.55

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Solution

The fourth proportional to 7,493.99, 10,266.66 and 7,213.55 is: 9,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.99 : 10,266.66 = 7,213.55 : x
  2. Step 2: Convert to fraction form
    7,493.99/10,266.66 = 7,213.55/x
  3. Step 3: Cross multiply
    7,493.99x = 10,266.66 × 7,213.55
  4. Step 4: Simplify right side
    7,493.99x = 74,059,013.91
  5. Step 5: Solve for x
    x = 74,059,013.91/7,493.99
  6. Step 6: Final answer
    x = 9,882.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.