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Finding the Fourth Proportional to 6,476.63, 8,899.01 and 5,148.02

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Solution

The fourth proportional to 6,476.63, 8,899.01 and 5,148.02 is: 7,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.63 : 8,899.01 = 5,148.02 : x
  2. Step 2: Convert to fraction form
    6,476.63/8,899.01 = 5,148.02/x
  3. Step 3: Cross multiply
    6,476.63x = 8,899.01 × 5,148.02
  4. Step 4: Simplify right side
    6,476.63x = 45,812,297.27
  5. Step 5: Solve for x
    x = 45,812,297.27/6,476.63
  6. Step 6: Final answer
    x = 7,073.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.