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Finding the Fourth Proportional to 5,491.14, 8,234.10 and 1,594.50

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Solution

The fourth proportional to 5,491.14, 8,234.10 and 1,594.50 is: 2,390.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.14 : 8,234.10 = 1,594.50 : x
  2. Step 2: Convert to fraction form
    5,491.14/8,234.10 = 1,594.50/x
  3. Step 3: Cross multiply
    5,491.14x = 8,234.10 × 1,594.50
  4. Step 4: Simplify right side
    5,491.14x = 13,129,272.45
  5. Step 5: Solve for x
    x = 13,129,272.45/5,491.14
  6. Step 6: Final answer
    x = 2,390.99

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.