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Finding the Fourth Proportional to 3,166.17, 4,749.96 and 975.09

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Solution

The fourth proportional to 3,166.17, 4,749.96 and 975.09 is: 1,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.17 : 4,749.96 = 975.09 : x
  2. Step 2: Convert to fraction form
    3,166.17/4,749.96 = 975.09/x
  3. Step 3: Cross multiply
    3,166.17x = 4,749.96 × 975.09
  4. Step 4: Simplify right side
    3,166.17x = 4,631,638.50
  5. Step 5: Solve for x
    x = 4,631,638.50/3,166.17
  6. Step 6: Final answer
    x = 1,462.85

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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.