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Finding the Fourth Proportional to 31,272.41, 46,908.77 and 7,898.87

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Solution

The fourth proportional to 31,272.41, 46,908.77 and 7,898.87 is: 11,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.41 : 46,908.77 = 7,898.87 : x
  2. Step 2: Convert to fraction form
    31,272.41/46,908.77 = 7,898.87/x
  3. Step 3: Cross multiply
    31,272.41x = 46,908.77 × 7,898.87
  4. Step 4: Simplify right side
    31,272.41x = 370,526,002.05
  5. Step 5: Solve for x
    x = 370,526,002.05/31,272.41
  6. Step 6: Final answer
    x = 11,848.34

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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.