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Finding the Fourth Proportional to 6,075.56, 9,114.20 and 2,953

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Solution

The fourth proportional to 6,075.56, 9,114.20 and 2,953 is: 4,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.56 : 9,114.20 = 2,953 : x
  2. Step 2: Convert to fraction form
    6,075.56/9,114.20 = 2,953/x
  3. Step 3: Cross multiply
    6,075.56x = 9,114.20 × 2,953
  4. Step 4: Simplify right side
    6,075.56x = 26,914,232.60
  5. Step 5: Solve for x
    x = 26,914,232.60/6,075.56
  6. Step 6: Final answer
    x = 4,429.92

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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.