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Finding the Fourth Proportional to 4,602.59, 6,351.60 and 2,506.72

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Solution

The fourth proportional to 4,602.59, 6,351.60 and 2,506.72 is: 3,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.59 : 6,351.60 = 2,506.72 : x
  2. Step 2: Convert to fraction form
    4,602.59/6,351.60 = 2,506.72/x
  3. Step 3: Cross multiply
    4,602.59x = 6,351.60 × 2,506.72
  4. Step 4: Simplify right side
    4,602.59x = 15,921,682.75
  5. Step 5: Solve for x
    x = 15,921,682.75/4,602.59
  6. Step 6: Final answer
    x = 3,459.29

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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.