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Finding the Fourth Proportional to 3,114.01, 4,671.72 and 922.75

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Solution

The fourth proportional to 3,114.01, 4,671.72 and 922.75 is: 1,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.01 : 4,671.72 = 922.75 : x
  2. Step 2: Convert to fraction form
    3,114.01/4,671.72 = 922.75/x
  3. Step 3: Cross multiply
    3,114.01x = 4,671.72 × 922.75
  4. Step 4: Simplify right side
    3,114.01x = 4,310,829.63
  5. Step 5: Solve for x
    x = 4,310,829.63/3,114.01
  6. Step 6: Final answer
    x = 1,384.33

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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.