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Finding the Fourth Proportional to 7,076.88, 10,602 and 4,146.48

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Solution

The fourth proportional to 7,076.88, 10,602 and 4,146.48 is: 6,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.88 : 10,602 = 4,146.48 : x
  2. Step 2: Convert to fraction form
    7,076.88/10,602 = 4,146.48/x
  3. Step 3: Cross multiply
    7,076.88x = 10,602 × 4,146.48
  4. Step 4: Simplify right side
    7,076.88x = 43,960,980.96
  5. Step 5: Solve for x
    x = 43,960,980.96/7,076.88
  6. Step 6: Final answer
    x = 6,211.92

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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.