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Finding the Fourth Proportional to 4,697.15, 6,462.86 and 4,065.66

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Solution

The fourth proportional to 4,697.15, 6,462.86 and 4,065.66 is: 5,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.15 : 6,462.86 = 4,065.66 : x
  2. Step 2: Convert to fraction form
    4,697.15/6,462.86 = 4,065.66/x
  3. Step 3: Cross multiply
    4,697.15x = 6,462.86 × 4,065.66
  4. Step 4: Simplify right side
    4,697.15x = 26,275,771.06
  5. Step 5: Solve for x
    x = 26,275,771.06/4,697.15
  6. Step 6: Final answer
    x = 5,593.99

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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.