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Finding the Fourth Proportional to 9,670.54, 13,331.24 and 6,829.06

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Solution

The fourth proportional to 9,670.54, 13,331.24 and 6,829.06 is: 9,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.54 : 13,331.24 = 6,829.06 : x
  2. Step 2: Convert to fraction form
    9,670.54/13,331.24 = 6,829.06/x
  3. Step 3: Cross multiply
    9,670.54x = 13,331.24 × 6,829.06
  4. Step 4: Simplify right side
    9,670.54x = 91,039,837.83
  5. Step 5: Solve for x
    x = 91,039,837.83/9,670.54
  6. Step 6: Final answer
    x = 9,414.14

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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.