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Finding the Fourth Proportional to 9,212.60, 13,808.10 and 4,827.80

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Solution

The fourth proportional to 9,212.60, 13,808.10 and 4,827.80 is: 7,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.60 : 13,808.10 = 4,827.80 : x
  2. Step 2: Convert to fraction form
    9,212.60/13,808.10 = 4,827.80/x
  3. Step 3: Cross multiply
    9,212.60x = 13,808.10 × 4,827.80
  4. Step 4: Simplify right side
    9,212.60x = 66,662,745.18
  5. Step 5: Solve for x
    x = 66,662,745.18/9,212.60
  6. Step 6: Final answer
    x = 7,236.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.