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Finding the Fourth Proportional to 12,641.46, 17,445.14 and 6,976.14

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Solution

The fourth proportional to 12,641.46, 17,445.14 and 6,976.14 is: 9,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.46 : 17,445.14 = 6,976.14 : x
  2. Step 2: Convert to fraction form
    12,641.46/17,445.14 = 6,976.14/x
  3. Step 3: Cross multiply
    12,641.46x = 17,445.14 × 6,976.14
  4. Step 4: Simplify right side
    12,641.46x = 121,699,738.96
  5. Step 5: Solve for x
    x = 121,699,738.96/12,641.46
  6. Step 6: Final answer
    x = 9,627.03

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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.