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Finding the Fourth Proportional to 11,710.88, 16,157.76 and 6,993.44

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Solution

The fourth proportional to 11,710.88, 16,157.76 and 6,993.44 is: 9,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.88 : 16,157.76 = 6,993.44 : x
  2. Step 2: Convert to fraction form
    11,710.88/16,157.76 = 6,993.44/x
  3. Step 3: Cross multiply
    11,710.88x = 16,157.76 × 6,993.44
  4. Step 4: Simplify right side
    11,710.88x = 112,998,325.09
  5. Step 5: Solve for x
    x = 112,998,325.09/11,710.88
  6. Step 6: Final answer
    x = 9,649.00

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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.