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Finding the Fourth Proportional to 7,493.50, 10,265.96 and 7,213.06

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Solution

The fourth proportional to 7,493.50, 10,265.96 and 7,213.06 is: 9,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.50 : 10,265.96 = 7,213.06 : x
  2. Step 2: Convert to fraction form
    7,493.50/10,265.96 = 7,213.06/x
  3. Step 3: Cross multiply
    7,493.50x = 10,265.96 × 7,213.06
  4. Step 4: Simplify right side
    7,493.50x = 74,048,985.44
  5. Step 5: Solve for x
    x = 74,048,985.44/7,493.50
  6. Step 6: Final answer
    x = 9,881.76

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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.