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Finding the Fourth Proportional to 15,286.32, 21,096 and 8,574.10

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Solution

The fourth proportional to 15,286.32, 21,096 and 8,574.10 is: 11,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.32 : 21,096 = 8,574.10 : x
  2. Step 2: Convert to fraction form
    15,286.32/21,096 = 8,574.10/x
  3. Step 3: Cross multiply
    15,286.32x = 21,096 × 8,574.10
  4. Step 4: Simplify right side
    15,286.32x = 180,879,213.60
  5. Step 5: Solve for x
    x = 180,879,213.60/15,286.32
  6. Step 6: Final answer
    x = 11,832.75

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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.