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Finding the Fourth Proportional to 7,094.61, 10,646.78 and 6,793.29

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Solution

The fourth proportional to 7,094.61, 10,646.78 and 6,793.29 is: 10,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.61 : 10,646.78 = 6,793.29 : x
  2. Step 2: Convert to fraction form
    7,094.61/10,646.78 = 6,793.29/x
  3. Step 3: Cross multiply
    7,094.61x = 10,646.78 × 6,793.29
  4. Step 4: Simplify right side
    7,094.61x = 72,326,630.14
  5. Step 5: Solve for x
    x = 72,326,630.14/7,094.61
  6. Step 6: Final answer
    x = 10,194.59

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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.