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Finding the Fourth Proportional to 9,224.78, 13,812.44 and 7,203.14

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Solution

The fourth proportional to 9,224.78, 13,812.44 and 7,203.14 is: 10,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.78 : 13,812.44 = 7,203.14 : x
  2. Step 2: Convert to fraction form
    9,224.78/13,812.44 = 7,203.14/x
  3. Step 3: Cross multiply
    9,224.78x = 13,812.44 × 7,203.14
  4. Step 4: Simplify right side
    9,224.78x = 99,492,939.06
  5. Step 5: Solve for x
    x = 99,492,939.06/9,224.78
  6. Step 6: Final answer
    x = 10,785.40

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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.