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Finding the Fourth Proportional to 10,599.56, 14,623.14 and 6,822

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Solution

The fourth proportional to 10,599.56, 14,623.14 and 6,822 is: 9,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.56 : 14,623.14 = 6,822 : x
  2. Step 2: Convert to fraction form
    10,599.56/14,623.14 = 6,822/x
  3. Step 3: Cross multiply
    10,599.56x = 14,623.14 × 6,822
  4. Step 4: Simplify right side
    10,599.56x = 99,759,061.08
  5. Step 5: Solve for x
    x = 99,759,061.08/10,599.56
  6. Step 6: Final answer
    x = 9,411.62

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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.