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Finding the Fourth Proportional to 9,223.80, 13,764.63 and 7,366.20

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Solution

The fourth proportional to 9,223.80, 13,764.63 and 7,366.20 is: 10,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.80 : 13,764.63 = 7,366.20 : x
  2. Step 2: Convert to fraction form
    9,223.80/13,764.63 = 7,366.20/x
  3. Step 3: Cross multiply
    9,223.80x = 13,764.63 × 7,366.20
  4. Step 4: Simplify right side
    9,223.80x = 101,393,017.51
  5. Step 5: Solve for x
    x = 101,393,017.51/9,223.80
  6. Step 6: Final answer
    x = 10,992.54

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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.