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Finding the Fourth Proportional to 7,299, 10,072.62 and 4,506.12

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Solution

The fourth proportional to 7,299, 10,072.62 and 4,506.12 is: 6,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299 : 10,072.62 = 4,506.12 : x
  2. Step 2: Convert to fraction form
    7,299/10,072.62 = 4,506.12/x
  3. Step 3: Cross multiply
    7,299x = 10,072.62 × 4,506.12
  4. Step 4: Simplify right side
    7,299x = 45,388,434.43
  5. Step 5: Solve for x
    x = 45,388,434.43/7,299
  6. Step 6: Final answer
    x = 6,218.45

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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.