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Finding the Fourth Proportional to 6,522.95, 9,784.46 and 3,235.28

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Solution

The fourth proportional to 6,522.95, 9,784.46 and 3,235.28 is: 4,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.95 : 9,784.46 = 3,235.28 : x
  2. Step 2: Convert to fraction form
    6,522.95/9,784.46 = 3,235.28/x
  3. Step 3: Cross multiply
    6,522.95x = 9,784.46 × 3,235.28
  4. Step 4: Simplify right side
    6,522.95x = 31,655,426.91
  5. Step 5: Solve for x
    x = 31,655,426.91/6,522.95
  6. Step 6: Final answer
    x = 4,852.93

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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.