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Finding the Fourth Proportional to 6,330.40, 9,495.84 and 1,888

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Solution

The fourth proportional to 6,330.40, 9,495.84 and 1,888 is: 2,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.40 : 9,495.84 = 1,888 : x
  2. Step 2: Convert to fraction form
    6,330.40/9,495.84 = 1,888/x
  3. Step 3: Cross multiply
    6,330.40x = 9,495.84 × 1,888
  4. Step 4: Simplify right side
    6,330.40x = 17,928,145.92
  5. Step 5: Solve for x
    x = 17,928,145.92/6,330.40
  6. Step 6: Final answer
    x = 2,832.07

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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.