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Finding the Fourth Proportional to 9,662.96, 13,326.72 and 6,674.06

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Solution

The fourth proportional to 9,662.96, 13,326.72 and 6,674.06 is: 9,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.96 : 13,326.72 = 6,674.06 : x
  2. Step 2: Convert to fraction form
    9,662.96/13,326.72 = 6,674.06/x
  3. Step 3: Cross multiply
    9,662.96x = 13,326.72 × 6,674.06
  4. Step 4: Simplify right side
    9,662.96x = 88,943,328.88
  5. Step 5: Solve for x
    x = 88,943,328.88/9,662.96
  6. Step 6: Final answer
    x = 9,204.56

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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.