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Finding the Fourth Proportional to 13,170.98, 19,744.86 and 6,587.84

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Solution

The fourth proportional to 13,170.98, 19,744.86 and 6,587.84 is: 9,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.98 : 19,744.86 = 6,587.84 : x
  2. Step 2: Convert to fraction form
    13,170.98/19,744.86 = 6,587.84/x
  3. Step 3: Cross multiply
    13,170.98x = 19,744.86 × 6,587.84
  4. Step 4: Simplify right side
    13,170.98x = 130,075,978.50
  5. Step 5: Solve for x
    x = 130,075,978.50/13,170.98
  6. Step 6: Final answer
    x = 9,875.95

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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.