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Finding the Fourth Proportional to 6,513.12, 9,756.66 and 3,914.64

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Solution

The fourth proportional to 6,513.12, 9,756.66 and 3,914.64 is: 5,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.12 : 9,756.66 = 3,914.64 : x
  2. Step 2: Convert to fraction form
    6,513.12/9,756.66 = 3,914.64/x
  3. Step 3: Cross multiply
    6,513.12x = 9,756.66 × 3,914.64
  4. Step 4: Simplify right side
    6,513.12x = 38,193,811.50
  5. Step 5: Solve for x
    x = 38,193,811.50/6,513.12
  6. Step 6: Final answer
    x = 5,864.13

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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.