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Finding the Fourth Proportional to 9,203.71, 13,784.80 and 4,262.97

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Solution

The fourth proportional to 9,203.71, 13,784.80 and 4,262.97 is: 6,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.71 : 13,784.80 = 4,262.97 : x
  2. Step 2: Convert to fraction form
    9,203.71/13,784.80 = 4,262.97/x
  3. Step 3: Cross multiply
    9,203.71x = 13,784.80 × 4,262.97
  4. Step 4: Simplify right side
    9,203.71x = 58,764,188.86
  5. Step 5: Solve for x
    x = 58,764,188.86/9,203.71
  6. Step 6: Final answer
    x = 6,384.84

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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.