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Finding the Fourth Proportional to 10,500.84, 14,497.38 and 6,967.08

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Solution

The fourth proportional to 10,500.84, 14,497.38 and 6,967.08 is: 9,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.84 : 14,497.38 = 6,967.08 : x
  2. Step 2: Convert to fraction form
    10,500.84/14,497.38 = 6,967.08/x
  3. Step 3: Cross multiply
    10,500.84x = 14,497.38 × 6,967.08
  4. Step 4: Simplify right side
    10,500.84x = 101,004,406.25
  5. Step 5: Solve for x
    x = 101,004,406.25/10,500.84
  6. Step 6: Final answer
    x = 9,618.70

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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.