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Finding the Fourth Proportional to 4,962.09, 7,442.89 and 1,840.86

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Solution

The fourth proportional to 4,962.09, 7,442.89 and 1,840.86 is: 2,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.09 : 7,442.89 = 1,840.86 : x
  2. Step 2: Convert to fraction form
    4,962.09/7,442.89 = 1,840.86/x
  3. Step 3: Cross multiply
    4,962.09x = 7,442.89 × 1,840.86
  4. Step 4: Simplify right side
    4,962.09x = 13,701,313.88
  5. Step 5: Solve for x
    x = 13,701,313.88/4,962.09
  6. Step 6: Final answer
    x = 2,761.20

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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.