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Finding the Fourth Proportional to 6,574.32, 9,860.04 and 4,627.44

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Solution

The fourth proportional to 6,574.32, 9,860.04 and 4,627.44 is: 6,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.32 : 9,860.04 = 4,627.44 : x
  2. Step 2: Convert to fraction form
    6,574.32/9,860.04 = 4,627.44/x
  3. Step 3: Cross multiply
    6,574.32x = 9,860.04 × 4,627.44
  4. Step 4: Simplify right side
    6,574.32x = 45,626,743.50
  5. Step 5: Solve for x
    x = 45,626,743.50/6,574.32
  6. Step 6: Final answer
    x = 6,940.15

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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.