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Finding the Fourth Proportional to 7,137.68, 9,852.24 and 5,012.24

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Solution

The fourth proportional to 7,137.68, 9,852.24 and 5,012.24 is: 6,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.68 : 9,852.24 = 5,012.24 : x
  2. Step 2: Convert to fraction form
    7,137.68/9,852.24 = 5,012.24/x
  3. Step 3: Cross multiply
    7,137.68x = 9,852.24 × 5,012.24
  4. Step 4: Simplify right side
    7,137.68x = 49,381,791.42
  5. Step 5: Solve for x
    x = 49,381,791.42/7,137.68
  6. Step 6: Final answer
    x = 6,918.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.