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Finding the Fourth Proportional to 7,002.45, 9,660.94 and 4,760.44

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Solution

The fourth proportional to 7,002.45, 9,660.94 and 4,760.44 is: 6,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.45 : 9,660.94 = 4,760.44 : x
  2. Step 2: Convert to fraction form
    7,002.45/9,660.94 = 4,760.44/x
  3. Step 3: Cross multiply
    7,002.45x = 9,660.94 × 4,760.44
  4. Step 4: Simplify right side
    7,002.45x = 45,990,289.16
  5. Step 5: Solve for x
    x = 45,990,289.16/7,002.45
  6. Step 6: Final answer
    x = 6,567.74

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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.