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Finding the Fourth Proportional to 9,223.78, 13,810.94 and 7,202.14

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Solution

The fourth proportional to 9,223.78, 13,810.94 and 7,202.14 is: 10,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.78 : 13,810.94 = 7,202.14 : x
  2. Step 2: Convert to fraction form
    9,223.78/13,810.94 = 7,202.14/x
  3. Step 3: Cross multiply
    9,223.78x = 13,810.94 × 7,202.14
  4. Step 4: Simplify right side
    9,223.78x = 99,468,323.41
  5. Step 5: Solve for x
    x = 99,468,323.41/9,223.78
  6. Step 6: Final answer
    x = 10,783.90

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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.