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Finding the Fourth Proportional to 7,953, 10,975.14 and 4,641

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Solution

The fourth proportional to 7,953, 10,975.14 and 4,641 is: 6,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953 : 10,975.14 = 4,641 : x
  2. Step 2: Convert to fraction form
    7,953/10,975.14 = 4,641/x
  3. Step 3: Cross multiply
    7,953x = 10,975.14 × 4,641
  4. Step 4: Simplify right side
    7,953x = 50,935,624.74
  5. Step 5: Solve for x
    x = 50,935,624.74/7,953
  6. Step 6: Final answer
    x = 6,404.58

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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.