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Finding the Fourth Proportional to 11,666.71, 16,100.22 and 6,361.53

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Solution

The fourth proportional to 11,666.71, 16,100.22 and 6,361.53 is: 8,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.71 : 16,100.22 = 6,361.53 : x
  2. Step 2: Convert to fraction form
    11,666.71/16,100.22 = 6,361.53/x
  3. Step 3: Cross multiply
    11,666.71x = 16,100.22 × 6,361.53
  4. Step 4: Simplify right side
    11,666.71x = 102,422,032.54
  5. Step 5: Solve for x
    x = 102,422,032.54/11,666.71
  6. Step 6: Final answer
    x = 8,779.00

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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.