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Finding the Fourth Proportional to 6,914.79, 10,374.62 and 3,019.50

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Solution

The fourth proportional to 6,914.79, 10,374.62 and 3,019.50 is: 4,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.79 : 10,374.62 = 3,019.50 : x
  2. Step 2: Convert to fraction form
    6,914.79/10,374.62 = 3,019.50/x
  3. Step 3: Cross multiply
    6,914.79x = 10,374.62 × 3,019.50
  4. Step 4: Simplify right side
    6,914.79x = 31,326,149.99
  5. Step 5: Solve for x
    x = 31,326,149.99/6,914.79
  6. Step 6: Final answer
    x = 4,530.31

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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.