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Finding the Fourth Proportional to 19,075.64, 28,613.46 and 6,755

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Solution

The fourth proportional to 19,075.64, 28,613.46 and 6,755 is: 10,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.64 : 28,613.46 = 6,755 : x
  2. Step 2: Convert to fraction form
    19,075.64/28,613.46 = 6,755/x
  3. Step 3: Cross multiply
    19,075.64x = 28,613.46 × 6,755
  4. Step 4: Simplify right side
    19,075.64x = 193,283,922.30
  5. Step 5: Solve for x
    x = 193,283,922.30/19,075.64
  6. Step 6: Final answer
    x = 10,132.50

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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.