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Finding the Fourth Proportional to 6,373, 9,564.34 and 2,475.24

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Solution

The fourth proportional to 6,373, 9,564.34 and 2,475.24 is: 3,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373 : 9,564.34 = 2,475.24 : x
  2. Step 2: Convert to fraction form
    6,373/9,564.34 = 2,475.24/x
  3. Step 3: Cross multiply
    6,373x = 9,564.34 × 2,475.24
  4. Step 4: Simplify right side
    6,373x = 23,674,036.94
  5. Step 5: Solve for x
    x = 23,674,036.94/6,373
  6. Step 6: Final answer
    x = 3,714.74

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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.