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Finding the Fourth Proportional to 9,937.53, 14,906.75 and 7,028.82

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Solution

The fourth proportional to 9,937.53, 14,906.75 and 7,028.82 is: 10,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.53 : 14,906.75 = 7,028.82 : x
  2. Step 2: Convert to fraction form
    9,937.53/14,906.75 = 7,028.82/x
  3. Step 3: Cross multiply
    9,937.53x = 14,906.75 × 7,028.82
  4. Step 4: Simplify right side
    9,937.53x = 104,776,862.54
  5. Step 5: Solve for x
    x = 104,776,862.54/9,937.53
  6. Step 6: Final answer
    x = 10,543.55

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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.