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Finding the Fourth Proportional to 6,152.40, 9,212.40 and 4,845.60

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Solution

The fourth proportional to 6,152.40, 9,212.40 and 4,845.60 is: 7,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.40 : 9,212.40 = 4,845.60 : x
  2. Step 2: Convert to fraction form
    6,152.40/9,212.40 = 4,845.60/x
  3. Step 3: Cross multiply
    6,152.40x = 9,212.40 × 4,845.60
  4. Step 4: Simplify right side
    6,152.40x = 44,639,605.44
  5. Step 5: Solve for x
    x = 44,639,605.44/6,152.40
  6. Step 6: Final answer
    x = 7,255.64

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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.