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Finding the Fourth Proportional to 9,866.16, 14,794.37 and 8,223.48

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Solution

The fourth proportional to 9,866.16, 14,794.37 and 8,223.48 is: 12,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.16 : 14,794.37 = 8,223.48 : x
  2. Step 2: Convert to fraction form
    9,866.16/14,794.37 = 8,223.48/x
  3. Step 3: Cross multiply
    9,866.16x = 14,794.37 × 8,223.48
  4. Step 4: Simplify right side
    9,866.16x = 121,661,164.69
  5. Step 5: Solve for x
    x = 121,661,164.69/9,866.16
  6. Step 6: Final answer
    x = 12,331.16

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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.