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Finding the Fourth Proportional to 9,308.40, 13,946.40 and 7,850.40

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Solution

The fourth proportional to 9,308.40, 13,946.40 and 7,850.40 is: 11,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 13,946.40 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    9,308.40/13,946.40 = 7,850.40/x
  3. Step 3: Cross multiply
    9,308.40x = 13,946.40 × 7,850.40
  4. Step 4: Simplify right side
    9,308.40x = 109,484,818.56
  5. Step 5: Solve for x
    x = 109,484,818.56/9,308.40
  6. Step 6: Final answer
    x = 11,761.94

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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.