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Finding the Fourth Proportional to 6,484.55, 9,725.29 and 2,972.37

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Solution

The fourth proportional to 6,484.55, 9,725.29 and 2,972.37 is: 4,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.55 : 9,725.29 = 2,972.37 : x
  2. Step 2: Convert to fraction form
    6,484.55/9,725.29 = 2,972.37/x
  3. Step 3: Cross multiply
    6,484.55x = 9,725.29 × 2,972.37
  4. Step 4: Simplify right side
    6,484.55x = 28,907,111.61
  5. Step 5: Solve for x
    x = 28,907,111.61/6,484.55
  6. Step 6: Final answer
    x = 4,457.84

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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.