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Finding the Fourth Proportional to 31,109.36, 46,664.02 and 7,735.79

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Solution

The fourth proportional to 31,109.36, 46,664.02 and 7,735.79 is: 11,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.36 : 46,664.02 = 7,735.79 : x
  2. Step 2: Convert to fraction form
    31,109.36/46,664.02 = 7,735.79/x
  3. Step 3: Cross multiply
    31,109.36x = 46,664.02 × 7,735.79
  4. Step 4: Simplify right side
    31,109.36x = 360,983,059.28
  5. Step 5: Solve for x
    x = 360,983,059.28/31,109.36
  6. Step 6: Final answer
    x = 11,603.68

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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.