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Finding the Fourth Proportional to 6,882.64, 10,323.93 and 1,688.50

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Solution

The fourth proportional to 6,882.64, 10,323.93 and 1,688.50 is: 2,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.64 : 10,323.93 = 1,688.50 : x
  2. Step 2: Convert to fraction form
    6,882.64/10,323.93 = 1,688.50/x
  3. Step 3: Cross multiply
    6,882.64x = 10,323.93 × 1,688.50
  4. Step 4: Simplify right side
    6,882.64x = 17,431,955.81
  5. Step 5: Solve for x
    x = 17,431,955.81/6,882.64
  6. Step 6: Final answer
    x = 2,532.74

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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.