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Finding the Fourth Proportional to 6,590.48, 9,084 and 4,676.96

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Solution

The fourth proportional to 6,590.48, 9,084 and 4,676.96 is: 6,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.48 : 9,084 = 4,676.96 : x
  2. Step 2: Convert to fraction form
    6,590.48/9,084 = 4,676.96/x
  3. Step 3: Cross multiply
    6,590.48x = 9,084 × 4,676.96
  4. Step 4: Simplify right side
    6,590.48x = 42,485,504.64
  5. Step 5: Solve for x
    x = 42,485,504.64/6,590.48
  6. Step 6: Final answer
    x = 6,446.50

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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.