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Finding the Fourth Proportional to 15,697.74, 21,663.03 and 8,624.16

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Solution

The fourth proportional to 15,697.74, 21,663.03 and 8,624.16 is: 11,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.74 : 21,663.03 = 8,624.16 : x
  2. Step 2: Convert to fraction form
    15,697.74/21,663.03 = 8,624.16/x
  3. Step 3: Cross multiply
    15,697.74x = 21,663.03 × 8,624.16
  4. Step 4: Simplify right side
    15,697.74x = 186,825,469.15
  5. Step 5: Solve for x
    x = 186,825,469.15/15,697.74
  6. Step 6: Final answer
    x = 11,901.42

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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.