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Finding the Fourth Proportional to 8,309.61, 11,466.47 and 4,583.37

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Solution

The fourth proportional to 8,309.61, 11,466.47 and 4,583.37 is: 6,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.61 : 11,466.47 = 4,583.37 : x
  2. Step 2: Convert to fraction form
    8,309.61/11,466.47 = 4,583.37/x
  3. Step 3: Cross multiply
    8,309.61x = 11,466.47 × 4,583.37
  4. Step 4: Simplify right side
    8,309.61x = 52,555,051.69
  5. Step 5: Solve for x
    x = 52,555,051.69/8,309.61
  6. Step 6: Final answer
    x = 6,324.61

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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.