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Finding the Fourth Proportional to 10,646.64, 15,960.24 and 4,800.06

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Solution

The fourth proportional to 10,646.64, 15,960.24 and 4,800.06 is: 7,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.64 : 15,960.24 = 4,800.06 : x
  2. Step 2: Convert to fraction form
    10,646.64/15,960.24 = 4,800.06/x
  3. Step 3: Cross multiply
    10,646.64x = 15,960.24 × 4,800.06
  4. Step 4: Simplify right side
    10,646.64x = 76,610,109.61
  5. Step 5: Solve for x
    x = 76,610,109.61/10,646.64
  6. Step 6: Final answer
    x = 7,195.71

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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.