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Finding the Fourth Proportional to 8,329.40, 11,495 and 4,793.14

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Solution

The fourth proportional to 8,329.40, 11,495 and 4,793.14 is: 6,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.40 : 11,495 = 4,793.14 : x
  2. Step 2: Convert to fraction form
    8,329.40/11,495 = 4,793.14/x
  3. Step 3: Cross multiply
    8,329.40x = 11,495 × 4,793.14
  4. Step 4: Simplify right side
    8,329.40x = 55,097,144.30
  5. Step 5: Solve for x
    x = 55,097,144.30/8,329.40
  6. Step 6: Final answer
    x = 6,614.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.