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Finding the Fourth Proportional to 3,277.60, 4,915.62 and 937.53

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Solution

The fourth proportional to 3,277.60, 4,915.62 and 937.53 is: 1,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.60 : 4,915.62 = 937.53 : x
  2. Step 2: Convert to fraction form
    3,277.60/4,915.62 = 937.53/x
  3. Step 3: Cross multiply
    3,277.60x = 4,915.62 × 937.53
  4. Step 4: Simplify right side
    3,277.60x = 4,608,541.22
  5. Step 5: Solve for x
    x = 4,608,541.22/3,277.60
  6. Step 6: Final answer
    x = 1,406.07

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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.