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Finding the Fourth Proportional to 4,630.16, 6,945.72 and 1,167.44

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Solution

The fourth proportional to 4,630.16, 6,945.72 and 1,167.44 is: 1,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.16 : 6,945.72 = 1,167.44 : x
  2. Step 2: Convert to fraction form
    4,630.16/6,945.72 = 1,167.44/x
  3. Step 3: Cross multiply
    4,630.16x = 6,945.72 × 1,167.44
  4. Step 4: Simplify right side
    4,630.16x = 8,108,711.36
  5. Step 5: Solve for x
    x = 8,108,711.36/4,630.16
  6. Step 6: Final answer
    x = 1,751.28

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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.