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Finding the Fourth Proportional to 6,596.64, 9,103.38 and 3,612.50

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Solution

The fourth proportional to 6,596.64, 9,103.38 and 3,612.50 is: 4,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.64 : 9,103.38 = 3,612.50 : x
  2. Step 2: Convert to fraction form
    6,596.64/9,103.38 = 3,612.50/x
  3. Step 3: Cross multiply
    6,596.64x = 9,103.38 × 3,612.50
  4. Step 4: Simplify right side
    6,596.64x = 32,885,914.73
  5. Step 5: Solve for x
    x = 32,885,914.73/6,596.64
  6. Step 6: Final answer
    x = 4,985.25

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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.