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Finding the Fourth Proportional to 10,530.96, 15,790.56 and 6,627

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Solution

The fourth proportional to 10,530.96, 15,790.56 and 6,627 is: 9,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.96 : 15,790.56 = 6,627 : x
  2. Step 2: Convert to fraction form
    10,530.96/15,790.56 = 6,627/x
  3. Step 3: Cross multiply
    10,530.96x = 15,790.56 × 6,627
  4. Step 4: Simplify right side
    10,530.96x = 104,644,041.12
  5. Step 5: Solve for x
    x = 104,644,041.12/10,530.96
  6. Step 6: Final answer
    x = 9,936.80

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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.