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Finding the Fourth Proportional to 19,071.64, 28,607.54 and 6,751

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Solution

The fourth proportional to 19,071.64, 28,607.54 and 6,751 is: 10,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071.64 : 28,607.54 = 6,751 : x
  2. Step 2: Convert to fraction form
    19,071.64/28,607.54 = 6,751/x
  3. Step 3: Cross multiply
    19,071.64x = 28,607.54 × 6,751
  4. Step 4: Simplify right side
    19,071.64x = 193,129,502.54
  5. Step 5: Solve for x
    x = 193,129,502.54/19,071.64
  6. Step 6: Final answer
    x = 10,126.53

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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.