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Finding the Fourth Proportional to 8,406.25, 11,600.67 and 4,680.25

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Solution

The fourth proportional to 8,406.25, 11,600.67 and 4,680.25 is: 6,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.25 : 11,600.67 = 4,680.25 : x
  2. Step 2: Convert to fraction form
    8,406.25/11,600.67 = 4,680.25/x
  3. Step 3: Cross multiply
    8,406.25x = 11,600.67 × 4,680.25
  4. Step 4: Simplify right side
    8,406.25x = 54,294,035.77
  5. Step 5: Solve for x
    x = 54,294,035.77/8,406.25
  6. Step 6: Final answer
    x = 6,458.77

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Half 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.