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Finding the Fourth Proportional to 7,630.87, 10,531.47 and 4,648.45

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Solution

The fourth proportional to 7,630.87, 10,531.47 and 4,648.45 is: 6,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.87 : 10,531.47 = 4,648.45 : x
  2. Step 2: Convert to fraction form
    7,630.87/10,531.47 = 4,648.45/x
  3. Step 3: Cross multiply
    7,630.87x = 10,531.47 × 4,648.45
  4. Step 4: Simplify right side
    7,630.87x = 48,955,011.72
  5. Step 5: Solve for x
    x = 48,955,011.72/7,630.87
  6. Step 6: Final answer
    x = 6,415.39

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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.