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Finding the Fourth Proportional to 31,307.36, 46,961.06 and 9,122.47

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Solution

The fourth proportional to 31,307.36, 46,961.06 and 9,122.47 is: 13,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,307.36 : 46,961.06 = 9,122.47 : x
  2. Step 2: Convert to fraction form
    31,307.36/46,961.06 = 9,122.47/x
  3. Step 3: Cross multiply
    31,307.36x = 46,961.06 × 9,122.47
  4. Step 4: Simplify right side
    31,307.36x = 428,400,698.00
  5. Step 5: Solve for x
    x = 428,400,698.00/31,307.36
  6. Step 6: Final answer
    x = 13,683.71

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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.