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Finding the Fourth Proportional to 8,482.75, 11,705.78 and 4,705.62

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Solution

The fourth proportional to 8,482.75, 11,705.78 and 4,705.62 is: 6,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.75 : 11,705.78 = 4,705.62 : x
  2. Step 2: Convert to fraction form
    8,482.75/11,705.78 = 4,705.62/x
  3. Step 3: Cross multiply
    8,482.75x = 11,705.78 × 4,705.62
  4. Step 4: Simplify right side
    8,482.75x = 55,082,952.48
  5. Step 5: Solve for x
    x = 55,082,952.48/8,482.75
  6. Step 6: Final answer
    x = 6,493.53

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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.