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Finding the Fourth Proportional to 4,667.24, 7,000.64 and 1,745.32

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Solution

The fourth proportional to 4,667.24, 7,000.64 and 1,745.32 is: 2,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.24 : 7,000.64 = 1,745.32 : x
  2. Step 2: Convert to fraction form
    4,667.24/7,000.64 = 1,745.32/x
  3. Step 3: Cross multiply
    4,667.24x = 7,000.64 × 1,745.32
  4. Step 4: Simplify right side
    4,667.24x = 12,218,357.00
  5. Step 5: Solve for x
    x = 12,218,357.00/4,667.24
  6. Step 6: Final answer
    x = 2,617.90

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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.