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Finding the Fourth Proportional to 6,449.47, 8,893.51 and 4,774.39

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Solution

The fourth proportional to 6,449.47, 8,893.51 and 4,774.39 is: 6,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.47 : 8,893.51 = 4,774.39 : x
  2. Step 2: Convert to fraction form
    6,449.47/8,893.51 = 4,774.39/x
  3. Step 3: Cross multiply
    6,449.47x = 8,893.51 × 4,774.39
  4. Step 4: Simplify right side
    6,449.47x = 42,461,085.21
  5. Step 5: Solve for x
    x = 42,461,085.21/6,449.47
  6. Step 6: Final answer
    x = 6,583.65

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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.