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Finding the Fourth Proportional to 31,095.75, 46,643.49 and 7,722.21

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Solution

The fourth proportional to 31,095.75, 46,643.49 and 7,722.21 is: 11,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.75 : 46,643.49 = 7,722.21 : x
  2. Step 2: Convert to fraction form
    31,095.75/46,643.49 = 7,722.21/x
  3. Step 3: Cross multiply
    31,095.75x = 46,643.49 × 7,722.21
  4. Step 4: Simplify right side
    31,095.75x = 360,190,824.91
  5. Step 5: Solve for x
    x = 360,190,824.91/31,095.75
  6. Step 6: Final answer
    x = 11,583.28

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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.