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Finding the Fourth Proportional to 3,314.50, 4,971.61 and 974.41

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Solution

The fourth proportional to 3,314.50, 4,971.61 and 974.41 is: 1,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.50 : 4,971.61 = 974.41 : x
  2. Step 2: Convert to fraction form
    3,314.50/4,971.61 = 974.41/x
  3. Step 3: Cross multiply
    3,314.50x = 4,971.61 × 974.41
  4. Step 4: Simplify right side
    3,314.50x = 4,844,386.50
  5. Step 5: Solve for x
    x = 4,844,386.50/3,314.50
  6. Step 6: Final answer
    x = 1,461.57

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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.