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Finding the Fourth Proportional to 6,743.34, 9,343.53 and 6,590.25

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Solution

The fourth proportional to 6,743.34, 9,343.53 and 6,590.25 is: 9,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.34 : 9,343.53 = 6,590.25 : x
  2. Step 2: Convert to fraction form
    6,743.34/9,343.53 = 6,590.25/x
  3. Step 3: Cross multiply
    6,743.34x = 9,343.53 × 6,590.25
  4. Step 4: Simplify right side
    6,743.34x = 61,576,165.63
  5. Step 5: Solve for x
    x = 61,576,165.63/6,743.34
  6. Step 6: Final answer
    x = 9,131.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.