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Finding the Fourth Proportional to 9,523.84, 13,140.24 and 8,262.88

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Solution

The fourth proportional to 9,523.84, 13,140.24 and 8,262.88 is: 11,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.84 : 13,140.24 = 8,262.88 : x
  2. Step 2: Convert to fraction form
    9,523.84/13,140.24 = 8,262.88/x
  3. Step 3: Cross multiply
    9,523.84x = 13,140.24 × 8,262.88
  4. Step 4: Simplify right side
    9,523.84x = 108,576,226.29
  5. Step 5: Solve for x
    x = 108,576,226.29/9,523.84
  6. Step 6: Final answer
    x = 11,400.47

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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.