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Finding the Fourth Proportional to 9,803.69, 14,702.92 and 4,255.74

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Solution

The fourth proportional to 9,803.69, 14,702.92 and 4,255.74 is: 6,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.69 : 14,702.92 = 4,255.74 : x
  2. Step 2: Convert to fraction form
    9,803.69/14,702.92 = 4,255.74/x
  3. Step 3: Cross multiply
    9,803.69x = 14,702.92 × 4,255.74
  4. Step 4: Simplify right side
    9,803.69x = 62,571,709.97
  5. Step 5: Solve for x
    x = 62,571,709.97/9,803.69
  6. Step 6: Final answer
    x = 6,382.47

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1.5x scale

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.