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Finding the Fourth Proportional to 4,694.76, 6,476.76 and 3,123.36

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Solution

The fourth proportional to 4,694.76, 6,476.76 and 3,123.36 is: 4,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.76 : 6,476.76 = 3,123.36 : x
  2. Step 2: Convert to fraction form
    4,694.76/6,476.76 = 3,123.36/x
  3. Step 3: Cross multiply
    4,694.76x = 6,476.76 × 3,123.36
  4. Step 4: Simplify right side
    4,694.76x = 20,229,253.11
  5. Step 5: Solve for x
    x = 20,229,253.11/4,694.76
  6. Step 6: Final answer
    x = 4,308.90

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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.