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Finding the Fourth Proportional to 6,357, 9,533.64 and 2,460.52

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Solution

The fourth proportional to 6,357, 9,533.64 and 2,460.52 is: 3,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 9,533.64 = 2,460.52 : x
  2. Step 2: Convert to fraction form
    6,357/9,533.64 = 2,460.52/x
  3. Step 3: Cross multiply
    6,357x = 9,533.64 × 2,460.52
  4. Step 4: Simplify right side
    6,357x = 23,457,711.89
  5. Step 5: Solve for x
    x = 23,457,711.89/6,357
  6. Step 6: Final answer
    x = 3,690.06

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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.