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Finding the Fourth Proportional to 27,007.70, 40,497.15 and 11,407.70

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Solution

The fourth proportional to 27,007.70, 40,497.15 and 11,407.70 is: 17,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.70 : 40,497.15 = 11,407.70 : x
  2. Step 2: Convert to fraction form
    27,007.70/40,497.15 = 11,407.70/x
  3. Step 3: Cross multiply
    27,007.70x = 40,497.15 × 11,407.70
  4. Step 4: Simplify right side
    27,007.70x = 461,979,338.06
  5. Step 5: Solve for x
    x = 461,979,338.06/27,007.70
  6. Step 6: Final answer
    x = 17,105.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.