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Finding the Fourth Proportional to 11,666.73, 16,100.16 and 6,361.64

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Solution

The fourth proportional to 11,666.73, 16,100.16 and 6,361.64 is: 8,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.73 : 16,100.16 = 6,361.64 : x
  2. Step 2: Convert to fraction form
    11,666.73/16,100.16 = 6,361.64/x
  3. Step 3: Cross multiply
    11,666.73x = 16,100.16 × 6,361.64
  4. Step 4: Simplify right side
    11,666.73x = 102,423,421.86
  5. Step 5: Solve for x
    x = 102,423,421.86/11,666.73
  6. Step 6: Final answer
    x = 8,779.10

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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.