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Finding the Fourth Proportional to 4,746.96, 7,120.04 and 2,894.49

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Solution

The fourth proportional to 4,746.96, 7,120.04 and 2,894.49 is: 4,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.96 : 7,120.04 = 2,894.49 : x
  2. Step 2: Convert to fraction form
    4,746.96/7,120.04 = 2,894.49/x
  3. Step 3: Cross multiply
    4,746.96x = 7,120.04 × 2,894.49
  4. Step 4: Simplify right side
    4,746.96x = 20,608,870.11
  5. Step 5: Solve for x
    x = 20,608,870.11/4,746.96
  6. Step 6: Final answer
    x = 4,341.49

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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.