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Finding the Fourth Proportional to 6,692.63, 10,038.09 and 1,762.65

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Solution

The fourth proportional to 6,692.63, 10,038.09 and 1,762.65 is: 2,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.63 : 10,038.09 = 1,762.65 : x
  2. Step 2: Convert to fraction form
    6,692.63/10,038.09 = 1,762.65/x
  3. Step 3: Cross multiply
    6,692.63x = 10,038.09 × 1,762.65
  4. Step 4: Simplify right side
    6,692.63x = 17,693,639.34
  5. Step 5: Solve for x
    x = 17,693,639.34/6,692.63
  6. Step 6: Final answer
    x = 2,643.75

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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.