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Finding the Fourth Proportional to 9,108.40, 13,646.40 and 7,812.40

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Solution

The fourth proportional to 9,108.40, 13,646.40 and 7,812.40 is: 11,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.40 : 13,646.40 = 7,812.40 : x
  2. Step 2: Convert to fraction form
    9,108.40/13,646.40 = 7,812.40/x
  3. Step 3: Cross multiply
    9,108.40x = 13,646.40 × 7,812.40
  4. Step 4: Simplify right side
    9,108.40x = 106,611,135.36
  5. Step 5: Solve for x
    x = 106,611,135.36/9,108.40
  6. Step 6: Final answer
    x = 11,704.71

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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.