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Finding the Fourth Proportional to 9,523.58, 13,102.71 and 8,684.06

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Solution

The fourth proportional to 9,523.58, 13,102.71 and 8,684.06 is: 11,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.58 : 13,102.71 = 8,684.06 : x
  2. Step 2: Convert to fraction form
    9,523.58/13,102.71 = 8,684.06/x
  3. Step 3: Cross multiply
    9,523.58x = 13,102.71 × 8,684.06
  4. Step 4: Simplify right side
    9,523.58x = 113,784,719.80
  5. Step 5: Solve for x
    x = 113,784,719.80/9,523.58
  6. Step 6: Final answer
    x = 11,947.68

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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.