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Finding the Fourth Proportional to 6,291, 9,473.19 and 4,659.12

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Solution

The fourth proportional to 6,291, 9,473.19 and 4,659.12 is: 7,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 9,473.19 = 4,659.12 : x
  2. Step 2: Convert to fraction form
    6,291/9,473.19 = 4,659.12/x
  3. Step 3: Cross multiply
    6,291x = 9,473.19 × 4,659.12
  4. Step 4: Simplify right side
    6,291x = 44,136,728.99
  5. Step 5: Solve for x
    x = 44,136,728.99/6,291
  6. Step 6: Final answer
    x = 7,015.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.