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Finding the Fourth Proportional to 4,962.74, 7,443.87 and 1,884.50

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Solution

The fourth proportional to 4,962.74, 7,443.87 and 1,884.50 is: 2,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.74 : 7,443.87 = 1,884.50 : x
  2. Step 2: Convert to fraction form
    4,962.74/7,443.87 = 1,884.50/x
  3. Step 3: Cross multiply
    4,962.74x = 7,443.87 × 1,884.50
  4. Step 4: Simplify right side
    4,962.74x = 14,027,973.02
  5. Step 5: Solve for x
    x = 14,027,973.02/4,962.74
  6. Step 6: Final answer
    x = 2,826.66

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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.