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Finding the Fourth Proportional to 25,832.88, 38,746.44 and 7,114.32

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Solution

The fourth proportional to 25,832.88, 38,746.44 and 7,114.32 is: 10,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.88 : 38,746.44 = 7,114.32 : x
  2. Step 2: Convert to fraction form
    25,832.88/38,746.44 = 7,114.32/x
  3. Step 3: Cross multiply
    25,832.88x = 38,746.44 × 7,114.32
  4. Step 4: Simplify right side
    25,832.88x = 275,654,573.02
  5. Step 5: Solve for x
    x = 275,654,573.02/25,832.88
  6. Step 6: Final answer
    x = 10,670.69

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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.