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Finding the Fourth Proportional to 11,662.65, 16,094.16 and 6,357.42

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Solution

The fourth proportional to 11,662.65, 16,094.16 and 6,357.42 is: 8,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.65 : 16,094.16 = 6,357.42 : x
  2. Step 2: Convert to fraction form
    11,662.65/16,094.16 = 6,357.42/x
  3. Step 3: Cross multiply
    11,662.65x = 16,094.16 × 6,357.42
  4. Step 4: Simplify right side
    11,662.65x = 102,317,334.67
  5. Step 5: Solve for x
    x = 102,317,334.67/11,662.65
  6. Step 6: Final answer
    x = 8,773.08

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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.