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Finding the Fourth Proportional to 6,468.32, 9,702.54 and 2,573.72

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Solution

The fourth proportional to 6,468.32, 9,702.54 and 2,573.72 is: 3,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.32 : 9,702.54 = 2,573.72 : x
  2. Step 2: Convert to fraction form
    6,468.32/9,702.54 = 2,573.72/x
  3. Step 3: Cross multiply
    6,468.32x = 9,702.54 × 2,573.72
  4. Step 4: Simplify right side
    6,468.32x = 24,971,621.25
  5. Step 5: Solve for x
    x = 24,971,621.25/6,468.32
  6. Step 6: Final answer
    x = 3,860.60

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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.