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Finding the Fourth Proportional to 6,049.30, 9,075.30 and 4,737.10

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Solution

The fourth proportional to 6,049.30, 9,075.30 and 4,737.10 is: 7,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.30 : 9,075.30 = 4,737.10 : x
  2. Step 2: Convert to fraction form
    6,049.30/9,075.30 = 4,737.10/x
  3. Step 3: Cross multiply
    6,049.30x = 9,075.30 × 4,737.10
  4. Step 4: Simplify right side
    6,049.30x = 42,990,603.63
  5. Step 5: Solve for x
    x = 42,990,603.63/6,049.30
  6. Step 6: Final answer
    x = 7,106.71

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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.