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Finding the Fourth Proportional to 9,614.78, 13,268.79 and 6,076.70

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Solution

The fourth proportional to 9,614.78, 13,268.79 and 6,076.70 is: 8,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.78 : 13,268.79 = 6,076.70 : x
  2. Step 2: Convert to fraction form
    9,614.78/13,268.79 = 6,076.70/x
  3. Step 3: Cross multiply
    9,614.78x = 13,268.79 × 6,076.70
  4. Step 4: Simplify right side
    9,614.78x = 80,630,456.19
  5. Step 5: Solve for x
    x = 80,630,456.19/9,614.78
  6. Step 6: Final answer
    x = 8,386.09

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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.