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Finding the Fourth Proportional to 6,566.52, 9,063.36 and 4,328.64

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Solution

The fourth proportional to 6,566.52, 9,063.36 and 4,328.64 is: 5,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.52 : 9,063.36 = 4,328.64 : x
  2. Step 2: Convert to fraction form
    6,566.52/9,063.36 = 4,328.64/x
  3. Step 3: Cross multiply
    6,566.52x = 9,063.36 × 4,328.64
  4. Step 4: Simplify right side
    6,566.52x = 39,232,022.63
  5. Step 5: Solve for x
    x = 39,232,022.63/6,566.52
  6. Step 6: Final answer
    x = 5,974.55

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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.