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Finding the Fourth Proportional to 9,846.40, 14,764.14 and 3,270.88

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Solution

The fourth proportional to 9,846.40, 14,764.14 and 3,270.88 is: 4,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.40 : 14,764.14 = 3,270.88 : x
  2. Step 2: Convert to fraction form
    9,846.40/14,764.14 = 3,270.88/x
  3. Step 3: Cross multiply
    9,846.40x = 14,764.14 × 3,270.88
  4. Step 4: Simplify right side
    9,846.40x = 48,291,730.24
  5. Step 5: Solve for x
    x = 48,291,730.24/9,846.40
  6. Step 6: Final answer
    x = 4,904.51

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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.