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Finding the Fourth Proportional to 6,697.65, 10,046.42 and 2,017.65

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Solution

The fourth proportional to 6,697.65, 10,046.42 and 2,017.65 is: 3,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.65 : 10,046.42 = 2,017.65 : x
  2. Step 2: Convert to fraction form
    6,697.65/10,046.42 = 2,017.65/x
  3. Step 3: Cross multiply
    6,697.65x = 10,046.42 × 2,017.65
  4. Step 4: Simplify right side
    6,697.65x = 20,270,159.31
  5. Step 5: Solve for x
    x = 20,270,159.31/6,697.65
  6. Step 6: Final answer
    x = 3,026.46

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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.