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Finding the Fourth Proportional to 6,710.24, 9,257 and 5,135.60

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Solution

The fourth proportional to 6,710.24, 9,257 and 5,135.60 is: 7,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.24 : 9,257 = 5,135.60 : x
  2. Step 2: Convert to fraction form
    6,710.24/9,257 = 5,135.60/x
  3. Step 3: Cross multiply
    6,710.24x = 9,257 × 5,135.60
  4. Step 4: Simplify right side
    6,710.24x = 47,540,249.20
  5. Step 5: Solve for x
    x = 47,540,249.20/6,710.24
  6. Step 6: Final answer
    x = 7,084.73

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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.