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Finding the Fourth Proportional to 8,157.98, 11,258.80 and 4,573.54

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Solution

The fourth proportional to 8,157.98, 11,258.80 and 4,573.54 is: 6,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.98 : 11,258.80 = 4,573.54 : x
  2. Step 2: Convert to fraction form
    8,157.98/11,258.80 = 4,573.54/x
  3. Step 3: Cross multiply
    8,157.98x = 11,258.80 × 4,573.54
  4. Step 4: Simplify right side
    8,157.98x = 51,492,572.15
  5. Step 5: Solve for x
    x = 51,492,572.15/8,157.98
  6. Step 6: Final answer
    x = 6,311.93

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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.