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Finding the Fourth Proportional to 10,516.64, 15,746.81 and 6,350.81

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Solution

The fourth proportional to 10,516.64, 15,746.81 and 6,350.81 is: 9,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.64 : 15,746.81 = 6,350.81 : x
  2. Step 2: Convert to fraction form
    10,516.64/15,746.81 = 6,350.81/x
  3. Step 3: Cross multiply
    10,516.64x = 15,746.81 × 6,350.81
  4. Step 4: Simplify right side
    10,516.64x = 100,004,887.93
  5. Step 5: Solve for x
    x = 100,004,887.93/10,516.64
  6. Step 6: Final answer
    x = 9,509.21

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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.