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Finding the Fourth Proportional to 6,504, 9,731.52 and 4,560

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Solution

The fourth proportional to 6,504, 9,731.52 and 4,560 is: 6,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504 : 9,731.52 = 4,560 : x
  2. Step 2: Convert to fraction form
    6,504/9,731.52 = 4,560/x
  3. Step 3: Cross multiply
    6,504x = 9,731.52 × 4,560
  4. Step 4: Simplify right side
    6,504x = 44,375,731.20
  5. Step 5: Solve for x
    x = 44,375,731.20/6,504
  6. Step 6: Final answer
    x = 6,822.84

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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.