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Finding the Fourth Proportional to 6,075.81, 9,113.58 and 1,633.50

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Solution

The fourth proportional to 6,075.81, 9,113.58 and 1,633.50 is: 2,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.81 : 9,113.58 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    6,075.81/9,113.58 = 1,633.50/x
  3. Step 3: Cross multiply
    6,075.81x = 9,113.58 × 1,633.50
  4. Step 4: Simplify right side
    6,075.81x = 14,887,032.93
  5. Step 5: Solve for x
    x = 14,887,032.93/6,075.81
  6. Step 6: Final answer
    x = 2,450.21

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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.