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Finding the Fourth Proportional to 4,903.68, 6,766.74 and 2,914.40

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Solution

The fourth proportional to 4,903.68, 6,766.74 and 2,914.40 is: 4,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.68 : 6,766.74 = 2,914.40 : x
  2. Step 2: Convert to fraction form
    4,903.68/6,766.74 = 2,914.40/x
  3. Step 3: Cross multiply
    4,903.68x = 6,766.74 × 2,914.40
  4. Step 4: Simplify right side
    4,903.68x = 19,720,987.06
  5. Step 5: Solve for x
    x = 19,720,987.06/4,903.68
  6. Step 6: Final answer
    x = 4,021.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.