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Finding the Fourth Proportional to 9,563.04, 14,344.47 and 2,993.49

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Solution

The fourth proportional to 9,563.04, 14,344.47 and 2,993.49 is: 4,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.04 : 14,344.47 = 2,993.49 : x
  2. Step 2: Convert to fraction form
    9,563.04/14,344.47 = 2,993.49/x
  3. Step 3: Cross multiply
    9,563.04x = 14,344.47 × 2,993.49
  4. Step 4: Simplify right side
    9,563.04x = 42,940,027.50
  5. Step 5: Solve for x
    x = 42,940,027.50/9,563.04
  6. Step 6: Final answer
    x = 4,490.21

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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.