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Finding the Fourth Proportional to 12,415.66, 17,133.66 and 7,110.97

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Solution

The fourth proportional to 12,415.66, 17,133.66 and 7,110.97 is: 9,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.66 : 17,133.66 = 7,110.97 : x
  2. Step 2: Convert to fraction form
    12,415.66/17,133.66 = 7,110.97/x
  3. Step 3: Cross multiply
    12,415.66x = 17,133.66 × 7,110.97
  4. Step 4: Simplify right side
    12,415.66x = 121,836,856.58
  5. Step 5: Solve for x
    x = 121,836,856.58/12,415.66
  6. Step 6: Final answer
    x = 9,813.16

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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.