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Finding the Fourth Proportional to 16,568.21, 22,856.08 and 9,849.08

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Solution

The fourth proportional to 16,568.21, 22,856.08 and 9,849.08 is: 13,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.21 : 22,856.08 = 9,849.08 : x
  2. Step 2: Convert to fraction form
    16,568.21/22,856.08 = 9,849.08/x
  3. Step 3: Cross multiply
    16,568.21x = 22,856.08 × 9,849.08
  4. Step 4: Simplify right side
    16,568.21x = 225,111,360.41
  5. Step 5: Solve for x
    x = 225,111,360.41/16,568.21
  6. Step 6: Final answer
    x = 13,586.95

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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.