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Finding the Fourth Proportional to 4,642.36, 6,963.36 and 1,522.60

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Solution

The fourth proportional to 4,642.36, 6,963.36 and 1,522.60 is: 2,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.36 : 6,963.36 = 1,522.60 : x
  2. Step 2: Convert to fraction form
    4,642.36/6,963.36 = 1,522.60/x
  3. Step 3: Cross multiply
    4,642.36x = 6,963.36 × 1,522.60
  4. Step 4: Simplify right side
    4,642.36x = 10,602,411.94
  5. Step 5: Solve for x
    x = 10,602,411.94/4,642.36
  6. Step 6: Final answer
    x = 2,283.84

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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.