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Finding the Fourth Proportional to 6,483.96, 8,935.38 and 4,712.76

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Solution

The fourth proportional to 6,483.96, 8,935.38 and 4,712.76 is: 6,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.96 : 8,935.38 = 4,712.76 : x
  2. Step 2: Convert to fraction form
    6,483.96/8,935.38 = 4,712.76/x
  3. Step 3: Cross multiply
    6,483.96x = 8,935.38 × 4,712.76
  4. Step 4: Simplify right side
    6,483.96x = 42,110,301.45
  5. Step 5: Solve for x
    x = 42,110,301.45/6,483.96
  6. Step 6: Final answer
    x = 6,494.53

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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.