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Finding the Fourth Proportional to 27,507.60, 37,964.70 and 16,904.70

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Solution

The fourth proportional to 27,507.60, 37,964.70 and 16,904.70 is: 23,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.60 : 37,964.70 = 16,904.70 : x
  2. Step 2: Convert to fraction form
    27,507.60/37,964.70 = 16,904.70/x
  3. Step 3: Cross multiply
    27,507.60x = 37,964.70 × 16,904.70
  4. Step 4: Simplify right side
    27,507.60x = 641,781,864.09
  5. Step 5: Solve for x
    x = 641,781,864.09/27,507.60
  6. Step 6: Final answer
    x = 23,331.07

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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.