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Finding the Fourth Proportional to 16,292.75, 22,484.00 and 8,840.75

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Solution

The fourth proportional to 16,292.75, 22,484.00 and 8,840.75 is: 12,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292.75 : 22,484.00 = 8,840.75 : x
  2. Step 2: Convert to fraction form
    16,292.75/22,484.00 = 8,840.75/x
  3. Step 3: Cross multiply
    16,292.75x = 22,484.00 × 8,840.75
  4. Step 4: Simplify right side
    16,292.75x = 198,775,378.80
  5. Step 5: Solve for x
    x = 198,775,378.80/16,292.75
  6. Step 6: Final answer
    x = 12,200.24

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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.