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Finding the Fourth Proportional to 9,166.50, 12,649.77 and 4,974.75

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Solution

The fourth proportional to 9,166.50, 12,649.77 and 4,974.75 is: 6,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.50 : 12,649.77 = 4,974.75 : x
  2. Step 2: Convert to fraction form
    9,166.50/12,649.77 = 4,974.75/x
  3. Step 3: Cross multiply
    9,166.50x = 12,649.77 × 4,974.75
  4. Step 4: Simplify right side
    9,166.50x = 62,929,443.31
  5. Step 5: Solve for x
    x = 62,929,443.31/9,166.50
  6. Step 6: Final answer
    x = 6,865.16

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