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Finding the Fourth Proportional to 14,852.92, 20,493.42 and 8,228.92

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Solution

The fourth proportional to 14,852.92, 20,493.42 and 8,228.92 is: 11,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.92 : 20,493.42 = 8,228.92 : x
  2. Step 2: Convert to fraction form
    14,852.92/20,493.42 = 8,228.92/x
  3. Step 3: Cross multiply
    14,852.92x = 20,493.42 × 8,228.92
  4. Step 4: Simplify right side
    14,852.92x = 168,638,713.71
  5. Step 5: Solve for x
    x = 168,638,713.71/14,852.92
  6. Step 6: Final answer
    x = 11,353.91

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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.