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Finding the Fourth Proportional to 11,318.00, 16,952.42 and 6,922.13

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Solution

The fourth proportional to 11,318.00, 16,952.42 and 6,922.13 is: 10,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.00 : 16,952.42 = 6,922.13 : x
  2. Step 2: Convert to fraction form
    11,318.00/16,952.42 = 6,922.13/x
  3. Step 3: Cross multiply
    11,318.00x = 16,952.42 × 6,922.13
  4. Step 4: Simplify right side
    11,318.00x = 117,346,787.60
  5. Step 5: Solve for x
    x = 117,346,787.60/11,318.00
  6. Step 6: Final answer
    x = 10,368.16

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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.