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Finding the Fourth Proportional to 6,580.80, 9,871.20 and 4,075.20

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Solution

The fourth proportional to 6,580.80, 9,871.20 and 4,075.20 is: 6,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.80 : 9,871.20 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    6,580.80/9,871.20 = 4,075.20/x
  3. Step 3: Cross multiply
    6,580.80x = 9,871.20 × 4,075.20
  4. Step 4: Simplify right side
    6,580.80x = 40,227,114.24
  5. Step 5: Solve for x
    x = 40,227,114.24/6,580.80
  6. Step 6: Final answer
    x = 6,112.80

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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.