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Finding the Fourth Proportional to 7,670.90, 10,539.97 and 6,096.26

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Solution

The fourth proportional to 7,670.90, 10,539.97 and 6,096.26 is: 8,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.90 : 10,539.97 = 6,096.26 : x
  2. Step 2: Convert to fraction form
    7,670.90/10,539.97 = 6,096.26/x
  3. Step 3: Cross multiply
    7,670.90x = 10,539.97 × 6,096.26
  4. Step 4: Simplify right side
    7,670.90x = 64,254,442.91
  5. Step 5: Solve for x
    x = 64,254,442.91/7,670.90
  6. Step 6: Final answer
    x = 8,376.39

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1.5x scale

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.