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Finding the Fourth Proportional to 27,784.71, 41,678.41 and 9,064.71

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Solution

The fourth proportional to 27,784.71, 41,678.41 and 9,064.71 is: 13,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.71 : 41,678.41 = 9,064.71 : x
  2. Step 2: Convert to fraction form
    27,784.71/41,678.41 = 9,064.71/x
  3. Step 3: Cross multiply
    27,784.71x = 41,678.41 × 9,064.71
  4. Step 4: Simplify right side
    27,784.71x = 377,802,699.91
  5. Step 5: Solve for x
    x = 377,802,699.91/27,784.71
  6. Step 6: Final answer
    x = 13,597.50

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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.