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Finding the Fourth Proportional to 4,559.40, 6,834.06 and 4,190.40

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Solution

The fourth proportional to 4,559.40, 6,834.06 and 4,190.40 is: 6,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.40 : 6,834.06 = 4,190.40 : x
  2. Step 2: Convert to fraction form
    4,559.40/6,834.06 = 4,190.40/x
  3. Step 3: Cross multiply
    4,559.40x = 6,834.06 × 4,190.40
  4. Step 4: Simplify right side
    4,559.40x = 28,637,445.02
  5. Step 5: Solve for x
    x = 28,637,445.02/4,559.40
  6. Step 6: Final answer
    x = 6,280.97

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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.