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Finding the Fourth Proportional to 4,804.80, 7,207.20 and 4,209.60

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Solution

The fourth proportional to 4,804.80, 7,207.20 and 4,209.60 is: 6,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.80 : 7,207.20 = 4,209.60 : x
  2. Step 2: Convert to fraction form
    4,804.80/7,207.20 = 4,209.60/x
  3. Step 3: Cross multiply
    4,804.80x = 7,207.20 × 4,209.60
  4. Step 4: Simplify right side
    4,804.80x = 30,339,429.12
  5. Step 5: Solve for x
    x = 30,339,429.12/4,804.80
  6. Step 6: Final answer
    x = 6,314.40

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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.