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Finding the Fourth Proportional to 31,286.48, 46,929.74 and 7,594.06

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Solution

The fourth proportional to 31,286.48, 46,929.74 and 7,594.06 is: 11,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.48 : 46,929.74 = 7,594.06 : x
  2. Step 2: Convert to fraction form
    31,286.48/46,929.74 = 7,594.06/x
  3. Step 3: Cross multiply
    31,286.48x = 46,929.74 × 7,594.06
  4. Step 4: Simplify right side
    31,286.48x = 356,387,416.91
  5. Step 5: Solve for x
    x = 356,387,416.91/31,286.48
  6. Step 6: Final answer
    x = 11,391.10

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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.