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Finding the Fourth Proportional to 4,874.76, 7,300.51 and 3,114.23

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Solution

The fourth proportional to 4,874.76, 7,300.51 and 3,114.23 is: 4,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.76 : 7,300.51 = 3,114.23 : x
  2. Step 2: Convert to fraction form
    4,874.76/7,300.51 = 3,114.23/x
  3. Step 3: Cross multiply
    4,874.76x = 7,300.51 × 3,114.23
  4. Step 4: Simplify right side
    4,874.76x = 22,735,467.26
  5. Step 5: Solve for x
    x = 22,735,467.26/4,874.76
  6. Step 6: Final answer
    x = 4,663.92

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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.