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Finding the Fourth Proportional to 3,467, 5,226.52 and 3,415.16

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Solution

The fourth proportional to 3,467, 5,226.52 and 3,415.16 is: 5,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467 : 5,226.52 = 3,415.16 : x
  2. Step 2: Convert to fraction form
    3,467/5,226.52 = 3,415.16/x
  3. Step 3: Cross multiply
    3,467x = 5,226.52 × 3,415.16
  4. Step 4: Simplify right side
    3,467x = 17,849,402.04
  5. Step 5: Solve for x
    x = 17,849,402.04/3,467
  6. Step 6: Final answer
    x = 5,148.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.