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Finding the Fourth Proportional to 6,283, 8,670.90 and 3,488.68

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Solution

The fourth proportional to 6,283, 8,670.90 and 3,488.68 is: 4,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283 : 8,670.90 = 3,488.68 : x
  2. Step 2: Convert to fraction form
    6,283/8,670.90 = 3,488.68/x
  3. Step 3: Cross multiply
    6,283x = 8,670.90 × 3,488.68
  4. Step 4: Simplify right side
    6,283x = 30,249,995.41
  5. Step 5: Solve for x
    x = 30,249,995.41/6,283
  6. Step 6: Final answer
    x = 4,814.58

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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.