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Finding the Fourth Proportional to 10,584, 14,606.28 and 6,864.48

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Solution

The fourth proportional to 10,584, 14,606.28 and 6,864.48 is: 9,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 14,606.28 = 6,864.48 : x
  2. Step 2: Convert to fraction form
    10,584/14,606.28 = 6,864.48/x
  3. Step 3: Cross multiply
    10,584x = 14,606.28 × 6,864.48
  4. Step 4: Simplify right side
    10,584x = 100,264,516.93
  5. Step 5: Solve for x
    x = 100,264,516.93/10,584
  6. Step 6: Final answer
    x = 9,473.22

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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.