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Finding the Fourth Proportional to 4,078.03, 6,117 and 1,304.65

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Solution

The fourth proportional to 4,078.03, 6,117 and 1,304.65 is: 1,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.03 : 6,117 = 1,304.65 : x
  2. Step 2: Convert to fraction form
    4,078.03/6,117 = 1,304.65/x
  3. Step 3: Cross multiply
    4,078.03x = 6,117 × 1,304.65
  4. Step 4: Simplify right side
    4,078.03x = 7,980,544.05
  5. Step 5: Solve for x
    x = 7,980,544.05/4,078.03
  6. Step 6: Final answer
    x = 1,956.96

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Double scale
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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.