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Finding the Fourth Proportional to 12,774, 17,629.74 and 7,186.08

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Solution

The fourth proportional to 12,774, 17,629.74 and 7,186.08 is: 9,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774 : 17,629.74 = 7,186.08 : x
  2. Step 2: Convert to fraction form
    12,774/17,629.74 = 7,186.08/x
  3. Step 3: Cross multiply
    12,774x = 17,629.74 × 7,186.08
  4. Step 4: Simplify right side
    12,774x = 126,688,722.02
  5. Step 5: Solve for x
    x = 126,688,722.02/12,774
  6. Step 6: Final answer
    x = 9,917.70

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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.