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Finding the Fourth Proportional to 6,495.75, 8,964.14 and 4,011.75

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Solution

The fourth proportional to 6,495.75, 8,964.14 and 4,011.75 is: 5,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.75 : 8,964.14 = 4,011.75 : x
  2. Step 2: Convert to fraction form
    6,495.75/8,964.14 = 4,011.75/x
  3. Step 3: Cross multiply
    6,495.75x = 8,964.14 × 4,011.75
  4. Step 4: Simplify right side
    6,495.75x = 35,961,868.59
  5. Step 5: Solve for x
    x = 35,961,868.59/6,495.75
  6. Step 6: Final answer
    x = 5,536.22

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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.