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Finding the Fourth Proportional to 7,782.93, 11,676.12 and 2,235.86

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Solution

The fourth proportional to 7,782.93, 11,676.12 and 2,235.86 is: 3,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.93 : 11,676.12 = 2,235.86 : x
  2. Step 2: Convert to fraction form
    7,782.93/11,676.12 = 2,235.86/x
  3. Step 3: Cross multiply
    7,782.93x = 11,676.12 × 2,235.86
  4. Step 4: Simplify right side
    7,782.93x = 26,106,111.28
  5. Step 5: Solve for x
    x = 26,106,111.28/7,782.93
  6. Step 6: Final answer
    x = 3,354.28

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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.