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Finding the Fourth Proportional to 6,830.94, 10,245.90 and 1,832.90

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Solution

The fourth proportional to 6,830.94, 10,245.90 and 1,832.90 is: 2,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.94 : 10,245.90 = 1,832.90 : x
  2. Step 2: Convert to fraction form
    6,830.94/10,245.90 = 1,832.90/x
  3. Step 3: Cross multiply
    6,830.94x = 10,245.90 × 1,832.90
  4. Step 4: Simplify right side
    6,830.94x = 18,779,710.11
  5. Step 5: Solve for x
    x = 18,779,710.11/6,830.94
  6. Step 6: Final answer
    x = 2,749.21

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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.