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Finding the Fourth Proportional to 6,193.04, 9,290.04 and 1,576

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Solution

The fourth proportional to 6,193.04, 9,290.04 and 1,576 is: 2,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 9,290.04 = 1,576 : x
  2. Step 2: Convert to fraction form
    6,193.04/9,290.04 = 1,576/x
  3. Step 3: Cross multiply
    6,193.04x = 9,290.04 × 1,576
  4. Step 4: Simplify right side
    6,193.04x = 14,641,103.04
  5. Step 5: Solve for x
    x = 14,641,103.04/6,193.04
  6. Step 6: Final answer
    x = 2,364.12

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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.