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Finding the Fourth Proportional to 6,668.72, 10,002 and 2,970.08

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Solution

The fourth proportional to 6,668.72, 10,002 and 2,970.08 is: 4,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.72 : 10,002 = 2,970.08 : x
  2. Step 2: Convert to fraction form
    6,668.72/10,002 = 2,970.08/x
  3. Step 3: Cross multiply
    6,668.72x = 10,002 × 2,970.08
  4. Step 4: Simplify right side
    6,668.72x = 29,706,740.16
  5. Step 5: Solve for x
    x = 29,706,740.16/6,668.72
  6. Step 6: Final answer
    x = 4,454.64

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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.