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Finding the Fourth Proportional to 6,076.40, 9,114.60 and 4,823.60

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Solution

The fourth proportional to 6,076.40, 9,114.60 and 4,823.60 is: 7,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.40 : 9,114.60 = 4,823.60 : x
  2. Step 2: Convert to fraction form
    6,076.40/9,114.60 = 4,823.60/x
  3. Step 3: Cross multiply
    6,076.40x = 9,114.60 × 4,823.60
  4. Step 4: Simplify right side
    6,076.40x = 43,965,184.56
  5. Step 5: Solve for x
    x = 43,965,184.56/6,076.40
  6. Step 6: Final answer
    x = 7,235.40

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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.