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Finding the Fourth Proportional to 12,503.22, 17,253.81 and 6,913.14

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Solution

The fourth proportional to 12,503.22, 17,253.81 and 6,913.14 is: 9,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.22 : 17,253.81 = 6,913.14 : x
  2. Step 2: Convert to fraction form
    12,503.22/17,253.81 = 6,913.14/x
  3. Step 3: Cross multiply
    12,503.22x = 17,253.81 × 6,913.14
  4. Step 4: Simplify right side
    12,503.22x = 119,278,004.06
  5. Step 5: Solve for x
    x = 119,278,004.06/12,503.22
  6. Step 6: Final answer
    x = 9,539.78

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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.