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Finding the Fourth Proportional to 4,869.84, 6,722.64 and 3,696.24

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Solution

The fourth proportional to 4,869.84, 6,722.64 and 3,696.24 is: 5,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.84 : 6,722.64 = 3,696.24 : x
  2. Step 2: Convert to fraction form
    4,869.84/6,722.64 = 3,696.24/x
  3. Step 3: Cross multiply
    4,869.84x = 6,722.64 × 3,696.24
  4. Step 4: Simplify right side
    4,869.84x = 24,848,490.87
  5. Step 5: Solve for x
    x = 24,848,490.87/4,869.84
  6. Step 6: Final answer
    x = 5,102.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.