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Finding the Fourth Proportional to 7,234.26, 10,851.40 and 1,762.26

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Solution

The fourth proportional to 7,234.26, 10,851.40 and 1,762.26 is: 2,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.26 : 10,851.40 = 1,762.26 : x
  2. Step 2: Convert to fraction form
    7,234.26/10,851.40 = 1,762.26/x
  3. Step 3: Cross multiply
    7,234.26x = 10,851.40 × 1,762.26
  4. Step 4: Simplify right side
    7,234.26x = 19,122,988.16
  5. Step 5: Solve for x
    x = 19,122,988.16/7,234.26
  6. Step 6: Final answer
    x = 2,643.39

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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.