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Finding the Fourth Proportional to 9,542.58, 14,313.88 and 2,967

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Solution

The fourth proportional to 9,542.58, 14,313.88 and 2,967 is: 4,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.58 : 14,313.88 = 2,967 : x
  2. Step 2: Convert to fraction form
    9,542.58/14,313.88 = 2,967/x
  3. Step 3: Cross multiply
    9,542.58x = 14,313.88 × 2,967
  4. Step 4: Simplify right side
    9,542.58x = 42,469,281.96
  5. Step 5: Solve for x
    x = 42,469,281.96/9,542.58
  6. Step 6: Final answer
    x = 4,450.50

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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.