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Finding the Fourth Proportional to 13,075.50, 19,599.53 and 6,402.80

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Solution

The fourth proportional to 13,075.50, 19,599.53 and 6,402.80 is: 9,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.50 : 19,599.53 = 6,402.80 : x
  2. Step 2: Convert to fraction form
    13,075.50/19,599.53 = 6,402.80/x
  3. Step 3: Cross multiply
    13,075.50x = 19,599.53 × 6,402.80
  4. Step 4: Simplify right side
    13,075.50x = 125,491,740.67
  5. Step 5: Solve for x
    x = 125,491,740.67/13,075.50
  6. Step 6: Final answer
    x = 9,597.47

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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.