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Finding the Fourth Proportional to 6,483.24, 8,937.54 and 4,617

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Solution

The fourth proportional to 6,483.24, 8,937.54 and 4,617 is: 6,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.24 : 8,937.54 = 4,617 : x
  2. Step 2: Convert to fraction form
    6,483.24/8,937.54 = 4,617/x
  3. Step 3: Cross multiply
    6,483.24x = 8,937.54 × 4,617
  4. Step 4: Simplify right side
    6,483.24x = 41,264,622.18
  5. Step 5: Solve for x
    x = 41,264,622.18/6,483.24
  6. Step 6: Final answer
    x = 6,364.81

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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.