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Finding the Fourth Proportional to 9,965.40, 14,930.10 and 4,759.80

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Solution

The fourth proportional to 9,965.40, 14,930.10 and 4,759.80 is: 7,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.40 : 14,930.10 = 4,759.80 : x
  2. Step 2: Convert to fraction form
    9,965.40/14,930.10 = 4,759.80/x
  3. Step 3: Cross multiply
    9,965.40x = 14,930.10 × 4,759.80
  4. Step 4: Simplify right side
    9,965.40x = 71,064,289.98
  5. Step 5: Solve for x
    x = 71,064,289.98/9,965.40
  6. Step 6: Final answer
    x = 7,131.10

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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.