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Finding the Fourth Proportional to 11,899.16, 16,420.92 and 6,594.32

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Solution

The fourth proportional to 11,899.16, 16,420.92 and 6,594.32 is: 9,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.16 : 16,420.92 = 6,594.32 : x
  2. Step 2: Convert to fraction form
    11,899.16/16,420.92 = 6,594.32/x
  3. Step 3: Cross multiply
    11,899.16x = 16,420.92 × 6,594.32
  4. Step 4: Simplify right side
    11,899.16x = 108,284,801.17
  5. Step 5: Solve for x
    x = 108,284,801.17/11,899.16
  6. Step 6: Final answer
    x = 9,100.21

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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.