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Finding the Fourth Proportional to 3,164.88, 4,747.36 and 973.68

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Solution

The fourth proportional to 3,164.88, 4,747.36 and 973.68 is: 1,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.88 : 4,747.36 = 973.68 : x
  2. Step 2: Convert to fraction form
    3,164.88/4,747.36 = 973.68/x
  3. Step 3: Cross multiply
    3,164.88x = 4,747.36 × 973.68
  4. Step 4: Simplify right side
    3,164.88x = 4,622,409.48
  5. Step 5: Solve for x
    x = 4,622,409.48/3,164.88
  6. Step 6: Final answer
    x = 1,460.53

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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.