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Finding the Fourth Proportional to 25,741.52, 38,608.32 and 7,023.08

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Solution

The fourth proportional to 25,741.52, 38,608.32 and 7,023.08 is: 10,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.52 : 38,608.32 = 7,023.08 : x
  2. Step 2: Convert to fraction form
    25,741.52/38,608.32 = 7,023.08/x
  3. Step 3: Cross multiply
    25,741.52x = 38,608.32 × 7,023.08
  4. Step 4: Simplify right side
    25,741.52x = 271,149,284.91
  5. Step 5: Solve for x
    x = 271,149,284.91/25,741.52
  6. Step 6: Final answer
    x = 10,533.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.