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Finding the Fourth Proportional to 6,906.52, 10,287.05 and 6,762.52

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Solution

The fourth proportional to 6,906.52, 10,287.05 and 6,762.52 is: 10,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.52 : 10,287.05 = 6,762.52 : x
  2. Step 2: Convert to fraction form
    6,906.52/10,287.05 = 6,762.52/x
  3. Step 3: Cross multiply
    6,906.52x = 10,287.05 × 6,762.52
  4. Step 4: Simplify right side
    6,906.52x = 69,566,381.37
  5. Step 5: Solve for x
    x = 69,566,381.37/6,906.52
  6. Step 6: Final answer
    x = 10,072.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.