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Finding the Fourth Proportional to 10,593.48, 14,614.76 and 6,816

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Solution

The fourth proportional to 10,593.48, 14,614.76 and 6,816 is: 9,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.48 : 14,614.76 = 6,816 : x
  2. Step 2: Convert to fraction form
    10,593.48/14,614.76 = 6,816/x
  3. Step 3: Cross multiply
    10,593.48x = 14,614.76 × 6,816
  4. Step 4: Simplify right side
    10,593.48x = 99,614,204.16
  5. Step 5: Solve for x
    x = 99,614,204.16/10,593.48
  6. Step 6: Final answer
    x = 9,403.35

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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.