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Finding the Fourth Proportional to 7,205.39, 9,944.00 and 4,019.69

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Solution

The fourth proportional to 7,205.39, 9,944.00 and 4,019.69 is: 5,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.39 : 9,944.00 = 4,019.69 : x
  2. Step 2: Convert to fraction form
    7,205.39/9,944.00 = 4,019.69/x
  3. Step 3: Cross multiply
    7,205.39x = 9,944.00 × 4,019.69
  4. Step 4: Simplify right side
    7,205.39x = 39,971,817.20
  5. Step 5: Solve for x
    x = 39,971,817.20/7,205.39
  6. Step 6: Final answer
    x = 5,547.49

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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.