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Finding the Fourth Proportional to 4,622.84, 6,934.08 and 1,544.84

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Solution

The fourth proportional to 4,622.84, 6,934.08 and 1,544.84 is: 2,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.84 : 6,934.08 = 1,544.84 : x
  2. Step 2: Convert to fraction form
    4,622.84/6,934.08 = 1,544.84/x
  3. Step 3: Cross multiply
    4,622.84x = 6,934.08 × 1,544.84
  4. Step 4: Simplify right side
    4,622.84x = 10,712,044.15
  5. Step 5: Solve for x
    x = 10,712,044.15/4,622.84
  6. Step 6: Final answer
    x = 2,317.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.