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Finding the Fourth Proportional to 6,496.89, 9,756.26 and 6,445.86

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Solution

The fourth proportional to 6,496.89, 9,756.26 and 6,445.86 is: 9,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.89 : 9,756.26 = 6,445.86 : x
  2. Step 2: Convert to fraction form
    6,496.89/9,756.26 = 6,445.86/x
  3. Step 3: Cross multiply
    6,496.89x = 9,756.26 × 6,445.86
  4. Step 4: Simplify right side
    6,496.89x = 62,887,486.08
  5. Step 5: Solve for x
    x = 62,887,486.08/6,496.89
  6. Step 6: Final answer
    x = 9,679.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.