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Finding the Fourth Proportional to 3,164.70, 4,747.50 and 973.74

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Solution

The fourth proportional to 3,164.70, 4,747.50 and 973.74 is: 1,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.70 : 4,747.50 = 973.74 : x
  2. Step 2: Convert to fraction form
    3,164.70/4,747.50 = 973.74/x
  3. Step 3: Cross multiply
    3,164.70x = 4,747.50 × 973.74
  4. Step 4: Simplify right side
    3,164.70x = 4,622,830.65
  5. Step 5: Solve for x
    x = 4,622,830.65/3,164.70
  6. Step 6: Final answer
    x = 1,460.75

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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.