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Finding the Fourth Proportional to 7,036, 9,709.86 and 4,241.68

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Solution

The fourth proportional to 7,036, 9,709.86 and 4,241.68 is: 5,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036 : 9,709.86 = 4,241.68 : x
  2. Step 2: Convert to fraction form
    7,036/9,709.86 = 4,241.68/x
  3. Step 3: Cross multiply
    7,036x = 9,709.86 × 4,241.68
  4. Step 4: Simplify right side
    7,036x = 41,186,118.96
  5. Step 5: Solve for x
    x = 41,186,118.96/7,036
  6. Step 6: Final answer
    x = 5,853.63

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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.