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Finding the Fourth Proportional to 10,725.64, 14,800.40 and 6,009

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Solution

The fourth proportional to 10,725.64, 14,800.40 and 6,009 is: 8,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.64 : 14,800.40 = 6,009 : x
  2. Step 2: Convert to fraction form
    10,725.64/14,800.40 = 6,009/x
  3. Step 3: Cross multiply
    10,725.64x = 14,800.40 × 6,009
  4. Step 4: Simplify right side
    10,725.64x = 88,935,603.60
  5. Step 5: Solve for x
    x = 88,935,603.60/10,725.64
  6. Step 6: Final answer
    x = 8,291.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.