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Finding the Fourth Proportional to 4,856.45, 7,290.78 and 4,130.63

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Solution

The fourth proportional to 4,856.45, 7,290.78 and 4,130.63 is: 6,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.45 : 7,290.78 = 4,130.63 : x
  2. Step 2: Convert to fraction form
    4,856.45/7,290.78 = 4,130.63/x
  3. Step 3: Cross multiply
    4,856.45x = 7,290.78 × 4,130.63
  4. Step 4: Simplify right side
    4,856.45x = 30,115,478.14
  5. Step 5: Solve for x
    x = 30,115,478.14/4,856.45
  6. Step 6: Final answer
    x = 6,201.14

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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.