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Finding the Fourth Proportional to 6,859.76, 9,465.98 and 4,027.25

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Solution

The fourth proportional to 6,859.76, 9,465.98 and 4,027.25 is: 5,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.76 : 9,465.98 = 4,027.25 : x
  2. Step 2: Convert to fraction form
    6,859.76/9,465.98 = 4,027.25/x
  3. Step 3: Cross multiply
    6,859.76x = 9,465.98 × 4,027.25
  4. Step 4: Simplify right side
    6,859.76x = 38,121,867.96
  5. Step 5: Solve for x
    x = 38,121,867.96/6,859.76
  6. Step 6: Final answer
    x = 5,557.32

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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.