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Finding the Fourth Proportional to 3,265.75, 4,899.53 and 957.25

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Solution

The fourth proportional to 3,265.75, 4,899.53 and 957.25 is: 1,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.75 : 4,899.53 = 957.25 : x
  2. Step 2: Convert to fraction form
    3,265.75/4,899.53 = 957.25/x
  3. Step 3: Cross multiply
    3,265.75x = 4,899.53 × 957.25
  4. Step 4: Simplify right side
    3,265.75x = 4,690,075.09
  5. Step 5: Solve for x
    x = 4,690,075.09/3,265.75
  6. Step 6: Final answer
    x = 1,436.14

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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.