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Finding the Fourth Proportional to 9,607.56, 14,411.57 and 2,944.20

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Solution

The fourth proportional to 9,607.56, 14,411.57 and 2,944.20 is: 4,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.56 : 14,411.57 = 2,944.20 : x
  2. Step 2: Convert to fraction form
    9,607.56/14,411.57 = 2,944.20/x
  3. Step 3: Cross multiply
    9,607.56x = 14,411.57 × 2,944.20
  4. Step 4: Simplify right side
    9,607.56x = 42,430,519.21
  5. Step 5: Solve for x
    x = 42,430,519.21/9,607.56
  6. Step 6: Final answer
    x = 4,416.37

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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.