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Finding the Fourth Proportional to 9,461.52, 14,191.84 and 2,536

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Solution

The fourth proportional to 9,461.52, 14,191.84 and 2,536 is: 3,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.52 : 14,191.84 = 2,536 : x
  2. Step 2: Convert to fraction form
    9,461.52/14,191.84 = 2,536/x
  3. Step 3: Cross multiply
    9,461.52x = 14,191.84 × 2,536
  4. Step 4: Simplify right side
    9,461.52x = 35,990,506.24
  5. Step 5: Solve for x
    x = 35,990,506.24/9,461.52
  6. Step 6: Final answer
    x = 3,803.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.