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Finding the Fourth Proportional to 6,740.38, 9,305.58 and 4,506.04

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Solution

The fourth proportional to 6,740.38, 9,305.58 and 4,506.04 is: 6,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.38 : 9,305.58 = 4,506.04 : x
  2. Step 2: Convert to fraction form
    6,740.38/9,305.58 = 4,506.04/x
  3. Step 3: Cross multiply
    6,740.38x = 9,305.58 × 4,506.04
  4. Step 4: Simplify right side
    6,740.38x = 41,931,315.70
  5. Step 5: Solve for x
    x = 41,931,315.70/6,740.38
  6. Step 6: Final answer
    x = 6,220.91

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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.