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Finding the Fourth Proportional to 4,602.13, 6,351 and 2,506.25

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Solution

The fourth proportional to 4,602.13, 6,351 and 2,506.25 is: 3,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.13 : 6,351 = 2,506.25 : x
  2. Step 2: Convert to fraction form
    4,602.13/6,351 = 2,506.25/x
  3. Step 3: Cross multiply
    4,602.13x = 6,351 × 2,506.25
  4. Step 4: Simplify right side
    4,602.13x = 15,917,193.75
  5. Step 5: Solve for x
    x = 15,917,193.75/4,602.13
  6. Step 6: Final answer
    x = 3,458.66

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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.