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Finding the Fourth Proportional to 10,048.20, 15,075.94 and 6,107.52

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Solution

The fourth proportional to 10,048.20, 15,075.94 and 6,107.52 is: 9,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.20 : 15,075.94 = 6,107.52 : x
  2. Step 2: Convert to fraction form
    10,048.20/15,075.94 = 6,107.52/x
  3. Step 3: Cross multiply
    10,048.20x = 15,075.94 × 6,107.52
  4. Step 4: Simplify right side
    10,048.20x = 92,076,605.07
  5. Step 5: Solve for x
    x = 92,076,605.07/10,048.20
  6. Step 6: Final answer
    x = 9,163.49

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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.