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Finding the Fourth Proportional to 9,536.55, 14,303.19 and 2,516.63

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Solution

The fourth proportional to 9,536.55, 14,303.19 and 2,516.63 is: 3,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.55 : 14,303.19 = 2,516.63 : x
  2. Step 2: Convert to fraction form
    9,536.55/14,303.19 = 2,516.63/x
  3. Step 3: Cross multiply
    9,536.55x = 14,303.19 × 2,516.63
  4. Step 4: Simplify right side
    9,536.55x = 35,995,837.05
  5. Step 5: Solve for x
    x = 35,995,837.05/9,536.55
  6. Step 6: Final answer
    x = 3,774.51

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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.