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Finding the Fourth Proportional to 10,536.54, 14,530.74 and 9,699

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Solution

The fourth proportional to 10,536.54, 14,530.74 and 9,699 is: 13,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.54 : 14,530.74 = 9,699 : x
  2. Step 2: Convert to fraction form
    10,536.54/14,530.74 = 9,699/x
  3. Step 3: Cross multiply
    10,536.54x = 14,530.74 × 9,699
  4. Step 4: Simplify right side
    10,536.54x = 140,933,647.26
  5. Step 5: Solve for x
    x = 140,933,647.26/10,536.54
  6. Step 6: Final answer
    x = 13,375.70

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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.