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Finding the Fourth Proportional to 10,589.16, 14,611.08 and 6,861

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Solution

The fourth proportional to 10,589.16, 14,611.08 and 6,861 is: 9,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.16 : 14,611.08 = 6,861 : x
  2. Step 2: Convert to fraction form
    10,589.16/14,611.08 = 6,861/x
  3. Step 3: Cross multiply
    10,589.16x = 14,611.08 × 6,861
  4. Step 4: Simplify right side
    10,589.16x = 100,246,619.88
  5. Step 5: Solve for x
    x = 100,246,619.88/10,589.16
  6. Step 6: Final answer
    x = 9,466.91

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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.