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Finding the Fourth Proportional to 6,455.64, 9,684.88 and 2,295.88

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Solution

The fourth proportional to 6,455.64, 9,684.88 and 2,295.88 is: 3,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.64 : 9,684.88 = 2,295.88 : x
  2. Step 2: Convert to fraction form
    6,455.64/9,684.88 = 2,295.88/x
  3. Step 3: Cross multiply
    6,455.64x = 9,684.88 × 2,295.88
  4. Step 4: Simplify right side
    6,455.64x = 22,235,322.29
  5. Step 5: Solve for x
    x = 22,235,322.29/6,455.64
  6. Step 6: Final answer
    x = 3,444.33

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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.