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Finding the Fourth Proportional to 6,599.08, 9,905.10 and 4,959.64

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Solution

The fourth proportional to 6,599.08, 9,905.10 and 4,959.64 is: 7,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.08 : 9,905.10 = 4,959.64 : x
  2. Step 2: Convert to fraction form
    6,599.08/9,905.10 = 4,959.64/x
  3. Step 3: Cross multiply
    6,599.08x = 9,905.10 × 4,959.64
  4. Step 4: Simplify right side
    6,599.08x = 49,125,730.16
  5. Step 5: Solve for x
    x = 49,125,730.16/6,599.08
  6. Step 6: Final answer
    x = 7,444.33

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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.