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Finding the Fourth Proportional to 7,954.50, 10,977.21 and 4,642.50

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Solution

The fourth proportional to 7,954.50, 10,977.21 and 4,642.50 is: 6,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.50 : 10,977.21 = 4,642.50 : x
  2. Step 2: Convert to fraction form
    7,954.50/10,977.21 = 4,642.50/x
  3. Step 3: Cross multiply
    7,954.50x = 10,977.21 × 4,642.50
  4. Step 4: Simplify right side
    7,954.50x = 50,961,697.43
  5. Step 5: Solve for x
    x = 50,961,697.43/7,954.50
  6. Step 6: Final answer
    x = 6,406.65

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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.