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Finding the Fourth Proportional to 11,666.58, 16,099.53 and 6,361.50

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Solution

The fourth proportional to 11,666.58, 16,099.53 and 6,361.50 is: 8,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.58 : 16,099.53 = 6,361.50 : x
  2. Step 2: Convert to fraction form
    11,666.58/16,099.53 = 6,361.50/x
  3. Step 3: Cross multiply
    11,666.58x = 16,099.53 × 6,361.50
  4. Step 4: Simplify right side
    11,666.58x = 102,417,160.10
  5. Step 5: Solve for x
    x = 102,417,160.10/11,666.58
  6. Step 6: Final answer
    x = 8,778.68

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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.