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Finding the Fourth Proportional to 7,733.94, 11,596.02 and 2,803.50

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Solution

The fourth proportional to 7,733.94, 11,596.02 and 2,803.50 is: 4,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.94 : 11,596.02 = 2,803.50 : x
  2. Step 2: Convert to fraction form
    7,733.94/11,596.02 = 2,803.50/x
  3. Step 3: Cross multiply
    7,733.94x = 11,596.02 × 2,803.50
  4. Step 4: Simplify right side
    7,733.94x = 32,509,442.07
  5. Step 5: Solve for x
    x = 32,509,442.07/7,733.94
  6. Step 6: Final answer
    x = 4,203.48

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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.