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Finding the Fourth Proportional to 12,110.67, 16,713.08 and 7,331.47

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Solution

The fourth proportional to 12,110.67, 16,713.08 and 7,331.47 is: 10,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.67 : 16,713.08 = 7,331.47 : x
  2. Step 2: Convert to fraction form
    12,110.67/16,713.08 = 7,331.47/x
  3. Step 3: Cross multiply
    12,110.67x = 16,713.08 × 7,331.47
  4. Step 4: Simplify right side
    12,110.67x = 122,531,444.63
  5. Step 5: Solve for x
    x = 122,531,444.63/12,110.67
  6. Step 6: Final answer
    x = 10,117.64

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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.