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Finding the Fourth Proportional to 6,684.84, 10,009.44 and 5,301

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Solution

The fourth proportional to 6,684.84, 10,009.44 and 5,301 is: 7,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.84 : 10,009.44 = 5,301 : x
  2. Step 2: Convert to fraction form
    6,684.84/10,009.44 = 5,301/x
  3. Step 3: Cross multiply
    6,684.84x = 10,009.44 × 5,301
  4. Step 4: Simplify right side
    6,684.84x = 53,060,041.44
  5. Step 5: Solve for x
    x = 53,060,041.44/6,684.84
  6. Step 6: Final answer
    x = 7,937.37

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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.