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Finding the Fourth Proportional to 31,297.87, 46,946.90 and 7,924.29

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Solution

The fourth proportional to 31,297.87, 46,946.90 and 7,924.29 is: 11,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.87 : 46,946.90 = 7,924.29 : x
  2. Step 2: Convert to fraction form
    31,297.87/46,946.90 = 7,924.29/x
  3. Step 3: Cross multiply
    31,297.87x = 46,946.90 × 7,924.29
  4. Step 4: Simplify right side
    31,297.87x = 372,020,850.20
  5. Step 5: Solve for x
    x = 372,020,850.20/31,297.87
  6. Step 6: Final answer
    x = 11,886.46

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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.