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Finding the Fourth Proportional to 8,482.75, 11,706.21 and 4,705.80

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Solution

The fourth proportional to 8,482.75, 11,706.21 and 4,705.80 is: 6,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.75 : 11,706.21 = 4,705.80 : x
  2. Step 2: Convert to fraction form
    8,482.75/11,706.21 = 4,705.80/x
  3. Step 3: Cross multiply
    8,482.75x = 11,706.21 × 4,705.80
  4. Step 4: Simplify right side
    8,482.75x = 55,087,083.02
  5. Step 5: Solve for x
    x = 55,087,083.02/8,482.75
  6. Step 6: Final answer
    x = 6,494.01

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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.