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Finding the Fourth Proportional to 7,299, 10,072.62 and 4,506.84

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Solution

The fourth proportional to 7,299, 10,072.62 and 4,506.84 is: 6,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299 : 10,072.62 = 4,506.84 : x
  2. Step 2: Convert to fraction form
    7,299/10,072.62 = 4,506.84/x
  3. Step 3: Cross multiply
    7,299x = 10,072.62 × 4,506.84
  4. Step 4: Simplify right side
    7,299x = 45,395,686.72
  5. Step 5: Solve for x
    x = 45,395,686.72/7,299
  6. Step 6: Final answer
    x = 6,219.44

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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.