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Finding the Fourth Proportional to 6,647.36, 9,970.68 and 2,030

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Solution

The fourth proportional to 6,647.36, 9,970.68 and 2,030 is: 3,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.36 : 9,970.68 = 2,030 : x
  2. Step 2: Convert to fraction form
    6,647.36/9,970.68 = 2,030/x
  3. Step 3: Cross multiply
    6,647.36x = 9,970.68 × 2,030
  4. Step 4: Simplify right side
    6,647.36x = 20,240,480.40
  5. Step 5: Solve for x
    x = 20,240,480.40/6,647.36
  6. Step 6: Final answer
    x = 3,044.89

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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.