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Finding the Fourth Proportional to 9,297.54, 12,816.77 and 6,782.49

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Solution

The fourth proportional to 9,297.54, 12,816.77 and 6,782.49 is: 9,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.54 : 12,816.77 = 6,782.49 : x
  2. Step 2: Convert to fraction form
    9,297.54/12,816.77 = 6,782.49/x
  3. Step 3: Cross multiply
    9,297.54x = 12,816.77 × 6,782.49
  4. Step 4: Simplify right side
    9,297.54x = 86,929,580.44
  5. Step 5: Solve for x
    x = 86,929,580.44/9,297.54
  6. Step 6: Final answer
    x = 9,349.74

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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.