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Finding the Fourth Proportional to 6,448.32, 9,650.88 and 5,667.84

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Solution

The fourth proportional to 6,448.32, 9,650.88 and 5,667.84 is: 8,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.32 : 9,650.88 = 5,667.84 : x
  2. Step 2: Convert to fraction form
    6,448.32/9,650.88 = 5,667.84/x
  3. Step 3: Cross multiply
    6,448.32x = 9,650.88 × 5,667.84
  4. Step 4: Simplify right side
    6,448.32x = 54,699,643.70
  5. Step 5: Solve for x
    x = 54,699,643.70/6,448.32
  6. Step 6: Final answer
    x = 8,482.77

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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.