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Finding the Fourth Proportional to 6,764.76, 9,344.50 and 5,098.76

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Solution

The fourth proportional to 6,764.76, 9,344.50 and 5,098.76 is: 7,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.76 : 9,344.50 = 5,098.76 : x
  2. Step 2: Convert to fraction form
    6,764.76/9,344.50 = 5,098.76/x
  3. Step 3: Cross multiply
    6,764.76x = 9,344.50 × 5,098.76
  4. Step 4: Simplify right side
    6,764.76x = 47,645,362.82
  5. Step 5: Solve for x
    x = 47,645,362.82/6,764.76
  6. Step 6: Final answer
    x = 7,043.17

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Half scale
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Double scale
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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.