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Finding the Fourth Proportional to 31,119.66, 46,679.63 and 7,746.09

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Solution

The fourth proportional to 31,119.66, 46,679.63 and 7,746.09 is: 11,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.66 : 46,679.63 = 7,746.09 : x
  2. Step 2: Convert to fraction form
    31,119.66/46,679.63 = 7,746.09/x
  3. Step 3: Cross multiply
    31,119.66x = 46,679.63 × 7,746.09
  4. Step 4: Simplify right side
    31,119.66x = 361,584,615.15
  5. Step 5: Solve for x
    x = 361,584,615.15/31,119.66
  6. Step 6: Final answer
    x = 11,619.17

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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.