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Finding the Fourth Proportional to 9,555, 14,334.14 and 2,980.96

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Solution

The fourth proportional to 9,555, 14,334.14 and 2,980.96 is: 4,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555 : 14,334.14 = 2,980.96 : x
  2. Step 2: Convert to fraction form
    9,555/14,334.14 = 2,980.96/x
  3. Step 3: Cross multiply
    9,555x = 14,334.14 × 2,980.96
  4. Step 4: Simplify right side
    9,555x = 42,729,497.97
  5. Step 5: Solve for x
    x = 42,729,497.97/9,555
  6. Step 6: Final answer
    x = 4,471.95

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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.