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Finding the Fourth Proportional to 9,610.48, 14,351.97 and 8,297.47

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Solution

The fourth proportional to 9,610.48, 14,351.97 and 8,297.47 is: 12,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.48 : 14,351.97 = 8,297.47 : x
  2. Step 2: Convert to fraction form
    9,610.48/14,351.97 = 8,297.47/x
  3. Step 3: Cross multiply
    9,610.48x = 14,351.97 × 8,297.47
  4. Step 4: Simplify right side
    9,610.48x = 119,085,004.64
  5. Step 5: Solve for x
    x = 119,085,004.64/9,610.48
  6. Step 6: Final answer
    x = 12,391.16

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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.