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Finding the Fourth Proportional to 6,059.72, 8,362.74 and 3,407.24

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Solution

The fourth proportional to 6,059.72, 8,362.74 and 3,407.24 is: 4,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.72 : 8,362.74 = 3,407.24 : x
  2. Step 2: Convert to fraction form
    6,059.72/8,362.74 = 3,407.24/x
  3. Step 3: Cross multiply
    6,059.72x = 8,362.74 × 3,407.24
  4. Step 4: Simplify right side
    6,059.72x = 28,493,862.24
  5. Step 5: Solve for x
    x = 28,493,862.24/6,059.72
  6. Step 6: Final answer
    x = 4,702.17

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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.