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Finding the Fourth Proportional to 6,835.94, 9,433.59 and 3,692.13

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Solution

The fourth proportional to 6,835.94, 9,433.59 and 3,692.13 is: 5,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.94 : 9,433.59 = 3,692.13 : x
  2. Step 2: Convert to fraction form
    6,835.94/9,433.59 = 3,692.13/x
  3. Step 3: Cross multiply
    6,835.94x = 9,433.59 × 3,692.13
  4. Step 4: Simplify right side
    6,835.94x = 34,830,040.65
  5. Step 5: Solve for x
    x = 34,830,040.65/6,835.94
  6. Step 6: Final answer
    x = 5,095.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.