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Finding the Fourth Proportional to 4,570.54, 6,856.14 and 4,026.49

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Solution

The fourth proportional to 4,570.54, 6,856.14 and 4,026.49 is: 6,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.54 : 6,856.14 = 4,026.49 : x
  2. Step 2: Convert to fraction form
    4,570.54/6,856.14 = 4,026.49/x
  3. Step 3: Cross multiply
    4,570.54x = 6,856.14 × 4,026.49
  4. Step 4: Simplify right side
    4,570.54x = 27,606,179.15
  5. Step 5: Solve for x
    x = 27,606,179.15/4,570.54
  6. Step 6: Final answer
    x = 6,040.03

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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.