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Finding the Fourth Proportional to 9,751.72, 13,453.08 and 6,214.12

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Solution

The fourth proportional to 9,751.72, 13,453.08 and 6,214.12 is: 8,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.72 : 13,453.08 = 6,214.12 : x
  2. Step 2: Convert to fraction form
    9,751.72/13,453.08 = 6,214.12/x
  3. Step 3: Cross multiply
    9,751.72x = 13,453.08 × 6,214.12
  4. Step 4: Simplify right side
    9,751.72x = 83,599,053.49
  5. Step 5: Solve for x
    x = 83,599,053.49/9,751.72
  6. Step 6: Final answer
    x = 8,572.75

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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.