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Finding the Fourth Proportional to 9,644.70, 14,438.70 and 7,190.40

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Solution

The fourth proportional to 9,644.70, 14,438.70 and 7,190.40 is: 10,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.70 : 14,438.70 = 7,190.40 : x
  2. Step 2: Convert to fraction form
    9,644.70/14,438.70 = 7,190.40/x
  3. Step 3: Cross multiply
    9,644.70x = 14,438.70 × 7,190.40
  4. Step 4: Simplify right side
    9,644.70x = 103,820,028.48
  5. Step 5: Solve for x
    x = 103,820,028.48/9,644.70
  6. Step 6: Final answer
    x = 10,764.46

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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.