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Finding the Fourth Proportional to 11,693.56, 16,137.06 and 6,658.72

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Solution

The fourth proportional to 11,693.56, 16,137.06 and 6,658.72 is: 9,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.56 : 16,137.06 = 6,658.72 : x
  2. Step 2: Convert to fraction form
    11,693.56/16,137.06 = 6,658.72/x
  3. Step 3: Cross multiply
    11,693.56x = 16,137.06 × 6,658.72
  4. Step 4: Simplify right side
    11,693.56x = 107,452,164.16
  5. Step 5: Solve for x
    x = 107,452,164.16/11,693.56
  6. Step 6: Final answer
    x = 9,189.00

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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.