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Finding the Fourth Proportional to 6,483.76, 9,723.66 and 4,262.50

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Solution

The fourth proportional to 6,483.76, 9,723.66 and 4,262.50 is: 6,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.76 : 9,723.66 = 4,262.50 : x
  2. Step 2: Convert to fraction form
    6,483.76/9,723.66 = 4,262.50/x
  3. Step 3: Cross multiply
    6,483.76x = 9,723.66 × 4,262.50
  4. Step 4: Simplify right side
    6,483.76x = 41,447,100.75
  5. Step 5: Solve for x
    x = 41,447,100.75/6,483.76
  6. Step 6: Final answer
    x = 6,392.45

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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.