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Finding the Fourth Proportional to 11,693.01, 16,131.11 and 7,216.95

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Solution

The fourth proportional to 11,693.01, 16,131.11 and 7,216.95 is: 9,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.01 : 16,131.11 = 7,216.95 : x
  2. Step 2: Convert to fraction form
    11,693.01/16,131.11 = 7,216.95/x
  3. Step 3: Cross multiply
    11,693.01x = 16,131.11 × 7,216.95
  4. Step 4: Simplify right side
    11,693.01x = 116,417,378.23
  5. Step 5: Solve for x
    x = 116,417,378.23/11,693.01
  6. Step 6: Final answer
    x = 9,956.15

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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.