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Finding the Fourth Proportional to 9,641.00, 14,463.11 and 3,069.20

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Solution

The fourth proportional to 9,641.00, 14,463.11 and 3,069.20 is: 4,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.00 : 14,463.11 = 3,069.20 : x
  2. Step 2: Convert to fraction form
    9,641.00/14,463.11 = 3,069.20/x
  3. Step 3: Cross multiply
    9,641.00x = 14,463.11 × 3,069.20
  4. Step 4: Simplify right side
    9,641.00x = 44,390,112.57
  5. Step 5: Solve for x
    x = 44,390,112.57/9,641.00
  6. Step 6: Final answer
    x = 4,604.31

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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.