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Finding the Fourth Proportional to 27,671.47, 41,497.02 and 9,897.32

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Solution

The fourth proportional to 27,671.47, 41,497.02 and 9,897.32 is: 14,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.47 : 41,497.02 = 9,897.32 : x
  2. Step 2: Convert to fraction form
    27,671.47/41,497.02 = 9,897.32/x
  3. Step 3: Cross multiply
    27,671.47x = 41,497.02 × 9,897.32
  4. Step 4: Simplify right side
    27,671.47x = 410,709,389.73
  5. Step 5: Solve for x
    x = 410,709,389.73/27,671.47
  6. Step 6: Final answer
    x = 14,842.34

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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.