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Finding the Fourth Proportional to 11,014.90, 16,488.60 and 6,069.40

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Solution

The fourth proportional to 11,014.90, 16,488.60 and 6,069.40 is: 9,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.90 : 16,488.60 = 6,069.40 : x
  2. Step 2: Convert to fraction form
    11,014.90/16,488.60 = 6,069.40/x
  3. Step 3: Cross multiply
    11,014.90x = 16,488.60 × 6,069.40
  4. Step 4: Simplify right side
    11,014.90x = 100,075,908.84
  5. Step 5: Solve for x
    x = 100,075,908.84/11,014.90
  6. Step 6: Final answer
    x = 9,085.50

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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.