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Finding the Fourth Proportional to 8,697.40, 13,048.26 and 4,075

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Solution

The fourth proportional to 8,697.40, 13,048.26 and 4,075 is: 6,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.40 : 13,048.26 = 4,075 : x
  2. Step 2: Convert to fraction form
    8,697.40/13,048.26 = 4,075/x
  3. Step 3: Cross multiply
    8,697.40x = 13,048.26 × 4,075
  4. Step 4: Simplify right side
    8,697.40x = 53,171,659.50
  5. Step 5: Solve for x
    x = 53,171,659.50/8,697.40
  6. Step 6: Final answer
    x = 6,113.51

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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.