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Finding the Fourth Proportional to 9,646.20, 14,447.70 and 7,918.20

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Solution

The fourth proportional to 9,646.20, 14,447.70 and 7,918.20 is: 11,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.20 : 14,447.70 = 7,918.20 : x
  2. Step 2: Convert to fraction form
    9,646.20/14,447.70 = 7,918.20/x
  3. Step 3: Cross multiply
    9,646.20x = 14,447.70 × 7,918.20
  4. Step 4: Simplify right side
    9,646.20x = 114,399,778.14
  5. Step 5: Solve for x
    x = 114,399,778.14/9,646.20
  6. Step 6: Final answer
    x = 11,859.57

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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.