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Finding the Fourth Proportional to 11,861.71, 16,368.99 and 6,556.42

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Solution

The fourth proportional to 11,861.71, 16,368.99 and 6,556.42 is: 9,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.71 : 16,368.99 = 6,556.42 : x
  2. Step 2: Convert to fraction form
    11,861.71/16,368.99 = 6,556.42/x
  3. Step 3: Cross multiply
    11,861.71x = 16,368.99 × 6,556.42
  4. Step 4: Simplify right side
    11,861.71x = 107,321,973.42
  5. Step 5: Solve for x
    x = 107,321,973.42/11,861.71
  6. Step 6: Final answer
    x = 9,047.77

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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.