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Finding the Fourth Proportional to 4,602.56, 6,351.54 and 2,506.68

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Solution

The fourth proportional to 4,602.56, 6,351.54 and 2,506.68 is: 3,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,351.54 = 2,506.68 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,351.54 = 2,506.68/x
  3. Step 3: Cross multiply
    4,602.56x = 6,351.54 × 2,506.68
  4. Step 4: Simplify right side
    4,602.56x = 15,921,278.29
  5. Step 5: Solve for x
    x = 15,921,278.29/4,602.56
  6. Step 6: Final answer
    x = 3,459.22

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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.