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Finding the Fourth Proportional to 6,341.23, 9,511.83 and 1,724.23

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Solution

The fourth proportional to 6,341.23, 9,511.83 and 1,724.23 is: 2,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.23 : 9,511.83 = 1,724.23 : x
  2. Step 2: Convert to fraction form
    6,341.23/9,511.83 = 1,724.23/x
  3. Step 3: Cross multiply
    6,341.23x = 9,511.83 × 1,724.23
  4. Step 4: Simplify right side
    6,341.23x = 16,400,582.64
  5. Step 5: Solve for x
    x = 16,400,582.64/6,341.23
  6. Step 6: Final answer
    x = 2,586.34

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Half scale
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Double scale
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Similar ratio
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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.