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Finding the Fourth Proportional to 7,497.84, 10,351.44 and 5,143.44

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Solution

The fourth proportional to 7,497.84, 10,351.44 and 5,143.44 is: 7,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.84 : 10,351.44 = 5,143.44 : x
  2. Step 2: Convert to fraction form
    7,497.84/10,351.44 = 5,143.44/x
  3. Step 3: Cross multiply
    7,497.84x = 10,351.44 × 5,143.44
  4. Step 4: Simplify right side
    7,497.84x = 53,242,010.55
  5. Step 5: Solve for x
    x = 53,242,010.55/7,497.84
  6. Step 6: Final answer
    x = 7,100.98

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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.