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Finding the Fourth Proportional to 4,602.34, 6,351.22 and 2,506.48

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Solution

The fourth proportional to 4,602.34, 6,351.22 and 2,506.48 is: 3,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.34 : 6,351.22 = 2,506.48 : x
  2. Step 2: Convert to fraction form
    4,602.34/6,351.22 = 2,506.48/x
  3. Step 3: Cross multiply
    4,602.34x = 6,351.22 × 2,506.48
  4. Step 4: Simplify right side
    4,602.34x = 15,919,205.91
  5. Step 5: Solve for x
    x = 15,919,205.91/4,602.34
  6. Step 6: Final answer
    x = 3,458.94

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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.