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Finding the Fourth Proportional to 6,193.98, 8,541.99 and 5,746.86

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Solution

The fourth proportional to 6,193.98, 8,541.99 and 5,746.86 is: 7,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.98 : 8,541.99 = 5,746.86 : x
  2. Step 2: Convert to fraction form
    6,193.98/8,541.99 = 5,746.86/x
  3. Step 3: Cross multiply
    6,193.98x = 8,541.99 × 5,746.86
  4. Step 4: Simplify right side
    6,193.98x = 49,089,620.65
  5. Step 5: Solve for x
    x = 49,089,620.65/6,193.98
  6. Step 6: Final answer
    x = 7,925.38

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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.