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Finding the Fourth Proportional to 11,667.40, 16,100.94 and 6,362.10

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Solution

The fourth proportional to 11,667.40, 16,100.94 and 6,362.10 is: 8,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.40 : 16,100.94 = 6,362.10 : x
  2. Step 2: Convert to fraction form
    11,667.40/16,100.94 = 6,362.10/x
  3. Step 3: Cross multiply
    11,667.40x = 16,100.94 × 6,362.10
  4. Step 4: Simplify right side
    11,667.40x = 102,435,814.23
  5. Step 5: Solve for x
    x = 102,435,814.23/11,667.40
  6. Step 6: Final answer
    x = 8,779.66

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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.