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Finding the Fourth Proportional to 7,072.04, 9,759.74 and 3,928.24

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Solution

The fourth proportional to 7,072.04, 9,759.74 and 3,928.24 is: 5,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.04 : 9,759.74 = 3,928.24 : x
  2. Step 2: Convert to fraction form
    7,072.04/9,759.74 = 3,928.24/x
  3. Step 3: Cross multiply
    7,072.04x = 9,759.74 × 3,928.24
  4. Step 4: Simplify right side
    7,072.04x = 38,338,601.06
  5. Step 5: Solve for x
    x = 38,338,601.06/7,072.04
  6. Step 6: Final answer
    x = 5,421.15

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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.