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Finding the Fourth Proportional to 7,048.80, 10,564.01 and 6,304.01

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Solution

The fourth proportional to 7,048.80, 10,564.01 and 6,304.01 is: 9,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.80 : 10,564.01 = 6,304.01 : x
  2. Step 2: Convert to fraction form
    7,048.80/10,564.01 = 6,304.01/x
  3. Step 3: Cross multiply
    7,048.80x = 10,564.01 × 6,304.01
  4. Step 4: Simplify right side
    7,048.80x = 66,595,540.34
  5. Step 5: Solve for x
    x = 66,595,540.34/7,048.80
  6. Step 6: Final answer
    x = 9,447.78

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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.