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Finding the Fourth Proportional to 6,468.71, 9,688.48 and 4,529.57

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Solution

The fourth proportional to 6,468.71, 9,688.48 and 4,529.57 is: 6,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.71 : 9,688.48 = 4,529.57 : x
  2. Step 2: Convert to fraction form
    6,468.71/9,688.48 = 4,529.57/x
  3. Step 3: Cross multiply
    6,468.71x = 9,688.48 × 4,529.57
  4. Step 4: Simplify right side
    6,468.71x = 43,884,588.59
  5. Step 5: Solve for x
    x = 43,884,588.59/6,468.71
  6. Step 6: Final answer
    x = 6,784.14

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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.