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Finding the Fourth Proportional to 6,049.81, 9,075.12 and 1,607.41

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Solution

The fourth proportional to 6,049.81, 9,075.12 and 1,607.41 is: 2,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.81 : 9,075.12 = 1,607.41 : x
  2. Step 2: Convert to fraction form
    6,049.81/9,075.12 = 1,607.41/x
  3. Step 3: Cross multiply
    6,049.81x = 9,075.12 × 1,607.41
  4. Step 4: Simplify right side
    6,049.81x = 14,587,430.60
  5. Step 5: Solve for x
    x = 14,587,430.60/6,049.81
  6. Step 6: Final answer
    x = 2,411.22

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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.