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Finding the Fourth Proportional to 5,196.84, 7,803.36 and 4,636.32

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Solution

The fourth proportional to 5,196.84, 7,803.36 and 4,636.32 is: 6,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.84 : 7,803.36 = 4,636.32 : x
  2. Step 2: Convert to fraction form
    5,196.84/7,803.36 = 4,636.32/x
  3. Step 3: Cross multiply
    5,196.84x = 7,803.36 × 4,636.32
  4. Step 4: Simplify right side
    5,196.84x = 36,178,874.04
  5. Step 5: Solve for x
    x = 36,178,874.04/5,196.84
  6. Step 6: Final answer
    x = 6,961.71

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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.