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Finding the Fourth Proportional to 6,486.16, 9,728.88 and 5,764

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Solution

The fourth proportional to 6,486.16, 9,728.88 and 5,764 is: 8,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.16 : 9,728.88 = 5,764 : x
  2. Step 2: Convert to fraction form
    6,486.16/9,728.88 = 5,764/x
  3. Step 3: Cross multiply
    6,486.16x = 9,728.88 × 5,764
  4. Step 4: Simplify right side
    6,486.16x = 56,077,264.32
  5. Step 5: Solve for x
    x = 56,077,264.32/6,486.16
  6. Step 6: Final answer
    x = 8,645.68

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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.