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Finding the Fourth Proportional to 11,929.61, 16,473.29 and 7,460.97

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Solution

The fourth proportional to 11,929.61, 16,473.29 and 7,460.97 is: 10,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.61 : 16,473.29 = 7,460.97 : x
  2. Step 2: Convert to fraction form
    11,929.61/16,473.29 = 7,460.97/x
  3. Step 3: Cross multiply
    11,929.61x = 16,473.29 × 7,460.97
  4. Step 4: Simplify right side
    11,929.61x = 122,906,685.19
  5. Step 5: Solve for x
    x = 122,906,685.19/11,929.61
  6. Step 6: Final answer
    x = 10,302.66

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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.