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Finding the Fourth Proportional to 6,527.85, 9,787.52 and 4,299.95

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Solution

The fourth proportional to 6,527.85, 9,787.52 and 4,299.95 is: 6,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.85 : 9,787.52 = 4,299.95 : x
  2. Step 2: Convert to fraction form
    6,527.85/9,787.52 = 4,299.95/x
  3. Step 3: Cross multiply
    6,527.85x = 9,787.52 × 4,299.95
  4. Step 4: Simplify right side
    6,527.85x = 42,085,776.19
  5. Step 5: Solve for x
    x = 42,085,776.19/6,527.85
  6. Step 6: Final answer
    x = 6,447.11

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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.