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Finding the Fourth Proportional to 5,914.74, 8,162.74 and 3,430.74

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Solution

The fourth proportional to 5,914.74, 8,162.74 and 3,430.74 is: 4,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.74 : 8,162.74 = 3,430.74 : x
  2. Step 2: Convert to fraction form
    5,914.74/8,162.74 = 3,430.74/x
  3. Step 3: Cross multiply
    5,914.74x = 8,162.74 × 3,430.74
  4. Step 4: Simplify right side
    5,914.74x = 28,004,197.81
  5. Step 5: Solve for x
    x = 28,004,197.81/5,914.74
  6. Step 6: Final answer
    x = 4,734.65

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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.