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Finding the Fourth Proportional to 6,496.96, 9,738.48 and 4,642.45

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Solution

The fourth proportional to 6,496.96, 9,738.48 and 4,642.45 is: 6,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.96 : 9,738.48 = 4,642.45 : x
  2. Step 2: Convert to fraction form
    6,496.96/9,738.48 = 4,642.45/x
  3. Step 3: Cross multiply
    6,496.96x = 9,738.48 × 4,642.45
  4. Step 4: Simplify right side
    6,496.96x = 45,210,406.48
  5. Step 5: Solve for x
    x = 45,210,406.48/6,496.96
  6. Step 6: Final answer
    x = 6,958.70

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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.