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Finding the Fourth Proportional to 4,602.51, 6,894.27 and 3,820.68

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Solution

The fourth proportional to 4,602.51, 6,894.27 and 3,820.68 is: 5,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.51 : 6,894.27 = 3,820.68 : x
  2. Step 2: Convert to fraction form
    4,602.51/6,894.27 = 3,820.68/x
  3. Step 3: Cross multiply
    4,602.51x = 6,894.27 × 3,820.68
  4. Step 4: Simplify right side
    4,602.51x = 26,340,799.50
  5. Step 5: Solve for x
    x = 26,340,799.50/4,602.51
  6. Step 6: Final answer
    x = 5,723.14

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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.