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Finding the Fourth Proportional to 27,510, 37,964.25 and 14,934.75

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Solution

The fourth proportional to 27,510, 37,964.25 and 14,934.75 is: 20,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510 : 37,964.25 = 14,934.75 : x
  2. Step 2: Convert to fraction form
    27,510/37,964.25 = 14,934.75/x
  3. Step 3: Cross multiply
    27,510x = 37,964.25 × 14,934.75
  4. Step 4: Simplify right side
    27,510x = 566,986,582.69
  5. Step 5: Solve for x
    x = 566,986,582.69/27,510
  6. Step 6: Final answer
    x = 20,610.20

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Half scale
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Double scale
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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.