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Finding the Fourth Proportional to 6,614.34, 9,921.54 and 1,684.02

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Solution

The fourth proportional to 6,614.34, 9,921.54 and 1,684.02 is: 2,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.34 : 9,921.54 = 1,684.02 : x
  2. Step 2: Convert to fraction form
    6,614.34/9,921.54 = 1,684.02/x
  3. Step 3: Cross multiply
    6,614.34x = 9,921.54 × 1,684.02
  4. Step 4: Simplify right side
    6,614.34x = 16,708,071.79
  5. Step 5: Solve for x
    x = 16,708,071.79/6,614.34
  6. Step 6: Final answer
    x = 2,526.04

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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.