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Finding the Fourth Proportional to 9,426.78, 13,009 and 5,892.04

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Solution

The fourth proportional to 9,426.78, 13,009 and 5,892.04 is: 8,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.78 : 13,009 = 5,892.04 : x
  2. Step 2: Convert to fraction form
    9,426.78/13,009 = 5,892.04/x
  3. Step 3: Cross multiply
    9,426.78x = 13,009 × 5,892.04
  4. Step 4: Simplify right side
    9,426.78x = 76,649,548.36
  5. Step 5: Solve for x
    x = 76,649,548.36/9,426.78
  6. Step 6: Final answer
    x = 8,131.04

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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.