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Finding the Fourth Proportional to 27,407.21, 37,822.07 and 15,470.69

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Solution

The fourth proportional to 27,407.21, 37,822.07 and 15,470.69 is: 21,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.21 : 37,822.07 = 15,470.69 : x
  2. Step 2: Convert to fraction form
    27,407.21/37,822.07 = 15,470.69/x
  3. Step 3: Cross multiply
    27,407.21x = 37,822.07 × 15,470.69
  4. Step 4: Simplify right side
    27,407.21x = 585,133,442.77
  5. Step 5: Solve for x
    x = 585,133,442.77/27,407.21
  6. Step 6: Final answer
    x = 21,349.62

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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.