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Finding the Fourth Proportional to 6,448.96, 8,899.74 and 4,563.88

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Solution

The fourth proportional to 6,448.96, 8,899.74 and 4,563.88 is: 6,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.96 : 8,899.74 = 4,563.88 : x
  2. Step 2: Convert to fraction form
    6,448.96/8,899.74 = 4,563.88/x
  3. Step 3: Cross multiply
    6,448.96x = 8,899.74 × 4,563.88
  4. Step 4: Simplify right side
    6,448.96x = 40,617,345.39
  5. Step 5: Solve for x
    x = 40,617,345.39/6,448.96
  6. Step 6: Final answer
    x = 6,298.28

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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.