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Finding the Fourth Proportional to 11,893.46, 16,413 and 6,588.18

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Solution

The fourth proportional to 11,893.46, 16,413 and 6,588.18 is: 9,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.46 : 16,413 = 6,588.18 : x
  2. Step 2: Convert to fraction form
    11,893.46/16,413 = 6,588.18/x
  3. Step 3: Cross multiply
    11,893.46x = 16,413 × 6,588.18
  4. Step 4: Simplify right side
    11,893.46x = 108,131,798.34
  5. Step 5: Solve for x
    x = 108,131,798.34/11,893.46
  6. Step 6: Final answer
    x = 9,091.70

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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.