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Finding the Fourth Proportional to 7,852.75, 10,836.15 and 4,494.80

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Solution

The fourth proportional to 7,852.75, 10,836.15 and 4,494.80 is: 6,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.75 : 10,836.15 = 4,494.80 : x
  2. Step 2: Convert to fraction form
    7,852.75/10,836.15 = 4,494.80/x
  3. Step 3: Cross multiply
    7,852.75x = 10,836.15 × 4,494.80
  4. Step 4: Simplify right side
    7,852.75x = 48,706,327.02
  5. Step 5: Solve for x
    x = 48,706,327.02/7,852.75
  6. Step 6: Final answer
    x = 6,202.45

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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.