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Finding the Fourth Proportional to 9,289.79, 13,934.16 and 6,793.53

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Solution

The fourth proportional to 9,289.79, 13,934.16 and 6,793.53 is: 10,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.79 : 13,934.16 = 6,793.53 : x
  2. Step 2: Convert to fraction form
    9,289.79/13,934.16 = 6,793.53/x
  3. Step 3: Cross multiply
    9,289.79x = 13,934.16 × 6,793.53
  4. Step 4: Simplify right side
    9,289.79x = 94,662,133.98
  5. Step 5: Solve for x
    x = 94,662,133.98/9,289.79
  6. Step 6: Final answer
    x = 10,189.92

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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.