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Finding the Fourth Proportional to 6,495.36, 8,964.36 and 6,291.24

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Solution

The fourth proportional to 6,495.36, 8,964.36 and 6,291.24 is: 8,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.36 : 8,964.36 = 6,291.24 : x
  2. Step 2: Convert to fraction form
    6,495.36/8,964.36 = 6,291.24/x
  3. Step 3: Cross multiply
    6,495.36x = 8,964.36 × 6,291.24
  4. Step 4: Simplify right side
    6,495.36x = 56,396,940.21
  5. Step 5: Solve for x
    x = 56,396,940.21/6,495.36
  6. Step 6: Final answer
    x = 8,682.65

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1.5x scale

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.