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Finding the Fourth Proportional to 6,512.66, 8,984.98 and 4,815.24

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Solution

The fourth proportional to 6,512.66, 8,984.98 and 4,815.24 is: 6,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.66 : 8,984.98 = 4,815.24 : x
  2. Step 2: Convert to fraction form
    6,512.66/8,984.98 = 4,815.24/x
  3. Step 3: Cross multiply
    6,512.66x = 8,984.98 × 4,815.24
  4. Step 4: Simplify right side
    6,512.66x = 43,264,835.10
  5. Step 5: Solve for x
    x = 43,264,835.10/6,512.66
  6. Step 6: Final answer
    x = 6,643.19

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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.