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Finding the Fourth Proportional to 9,203.52, 13,784.24 and 7,224.64

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Solution

The fourth proportional to 9,203.52, 13,784.24 and 7,224.64 is: 10,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.52 : 13,784.24 = 7,224.64 : x
  2. Step 2: Convert to fraction form
    9,203.52/13,784.24 = 7,224.64/x
  3. Step 3: Cross multiply
    9,203.52x = 13,784.24 × 7,224.64
  4. Step 4: Simplify right side
    9,203.52x = 99,586,171.67
  5. Step 5: Solve for x
    x = 99,586,171.67/9,203.52
  6. Step 6: Final answer
    x = 10,820.45

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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.