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Finding the Fourth Proportional to 9,693.15, 13,381.62 and 6,523.11

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Solution

The fourth proportional to 9,693.15, 13,381.62 and 6,523.11 is: 9,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.15 : 13,381.62 = 6,523.11 : x
  2. Step 2: Convert to fraction form
    9,693.15/13,381.62 = 6,523.11/x
  3. Step 3: Cross multiply
    9,693.15x = 13,381.62 × 6,523.11
  4. Step 4: Simplify right side
    9,693.15x = 87,289,791.47
  5. Step 5: Solve for x
    x = 87,289,791.47/9,693.15
  6. Step 6: Final answer
    x = 9,005.31

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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.