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Finding the Fourth Proportional to 8,174.64, 11,280.96 and 4,448.64

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Solution

The fourth proportional to 8,174.64, 11,280.96 and 4,448.64 is: 6,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.64 : 11,280.96 = 4,448.64 : x
  2. Step 2: Convert to fraction form
    8,174.64/11,280.96 = 4,448.64/x
  3. Step 3: Cross multiply
    8,174.64x = 11,280.96 × 4,448.64
  4. Step 4: Simplify right side
    8,174.64x = 50,184,929.89
  5. Step 5: Solve for x
    x = 50,184,929.89/8,174.64
  6. Step 6: Final answer
    x = 6,139.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.