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Finding the Fourth Proportional to 9,065.98, 13,598.70 and 3,218.50

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Solution

The fourth proportional to 9,065.98, 13,598.70 and 3,218.50 is: 4,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.98 : 13,598.70 = 3,218.50 : x
  2. Step 2: Convert to fraction form
    9,065.98/13,598.70 = 3,218.50/x
  3. Step 3: Cross multiply
    9,065.98x = 13,598.70 × 3,218.50
  4. Step 4: Simplify right side
    9,065.98x = 43,767,415.95
  5. Step 5: Solve for x
    x = 43,767,415.95/9,065.98
  6. Step 6: Final answer
    x = 4,827.65

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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.