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Finding the Fourth Proportional to 6,017.65, 9,020.99 and 4,065.75

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Solution

The fourth proportional to 6,017.65, 9,020.99 and 4,065.75 is: 6,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.65 : 9,020.99 = 4,065.75 : x
  2. Step 2: Convert to fraction form
    6,017.65/9,020.99 = 4,065.75/x
  3. Step 3: Cross multiply
    6,017.65x = 9,020.99 × 4,065.75
  4. Step 4: Simplify right side
    6,017.65x = 36,677,100.26
  5. Step 5: Solve for x
    x = 36,677,100.26/6,017.65
  6. Step 6: Final answer
    x = 6,094.92

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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.