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Finding the Fourth Proportional to 7,192.44, 9,923.19 and 4,206.16

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Solution

The fourth proportional to 7,192.44, 9,923.19 and 4,206.16 is: 5,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.44 : 9,923.19 = 4,206.16 : x
  2. Step 2: Convert to fraction form
    7,192.44/9,923.19 = 4,206.16/x
  3. Step 3: Cross multiply
    7,192.44x = 9,923.19 × 4,206.16
  4. Step 4: Simplify right side
    7,192.44x = 41,738,521.48
  5. Step 5: Solve for x
    x = 41,738,521.48/7,192.44
  6. Step 6: Final answer
    x = 5,803.11

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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.