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Finding the Fourth Proportional to 6,598.52, 9,902.64 and 3,135.80

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Solution

The fourth proportional to 6,598.52, 9,902.64 and 3,135.80 is: 4,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.52 : 9,902.64 = 3,135.80 : x
  2. Step 2: Convert to fraction form
    6,598.52/9,902.64 = 3,135.80/x
  3. Step 3: Cross multiply
    6,598.52x = 9,902.64 × 3,135.80
  4. Step 4: Simplify right side
    6,598.52x = 31,052,698.51
  5. Step 5: Solve for x
    x = 31,052,698.51/6,598.52
  6. Step 6: Final answer
    x = 4,706.01

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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.