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Finding the Fourth Proportional to 6,837.23, 9,452.27 and 6,774.98

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Solution

The fourth proportional to 6,837.23, 9,452.27 and 6,774.98 is: 9,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.23 : 9,452.27 = 6,774.98 : x
  2. Step 2: Convert to fraction form
    6,837.23/9,452.27 = 6,774.98/x
  3. Step 3: Cross multiply
    6,837.23x = 9,452.27 × 6,774.98
  4. Step 4: Simplify right side
    6,837.23x = 64,038,909.88
  5. Step 5: Solve for x
    x = 64,038,909.88/6,837.23
  6. Step 6: Final answer
    x = 9,366.20

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1.5x scale

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.