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Finding the Fourth Proportional to 11,317, 15,617.46 and 6,901

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Solution

The fourth proportional to 11,317, 15,617.46 and 6,901 is: 9,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317 : 15,617.46 = 6,901 : x
  2. Step 2: Convert to fraction form
    11,317/15,617.46 = 6,901/x
  3. Step 3: Cross multiply
    11,317x = 15,617.46 × 6,901
  4. Step 4: Simplify right side
    11,317x = 107,776,091.46
  5. Step 5: Solve for x
    x = 107,776,091.46/11,317
  6. Step 6: Final answer
    x = 9,523.38

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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.