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Finding the Fourth Proportional to 15,057.72, 20,779.38 and 8,343

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Solution

The fourth proportional to 15,057.72, 20,779.38 and 8,343 is: 11,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.72 : 20,779.38 = 8,343 : x
  2. Step 2: Convert to fraction form
    15,057.72/20,779.38 = 8,343/x
  3. Step 3: Cross multiply
    15,057.72x = 20,779.38 × 8,343
  4. Step 4: Simplify right side
    15,057.72x = 173,362,367.34
  5. Step 5: Solve for x
    x = 173,362,367.34/15,057.72
  6. Step 6: Final answer
    x = 11,513.19

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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.