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Finding the Fourth Proportional to 10,776, 14,871.09 and 6,527.22

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Solution

The fourth proportional to 10,776, 14,871.09 and 6,527.22 is: 9,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776 : 14,871.09 = 6,527.22 : x
  2. Step 2: Convert to fraction form
    10,776/14,871.09 = 6,527.22/x
  3. Step 3: Cross multiply
    10,776x = 14,871.09 × 6,527.22
  4. Step 4: Simplify right side
    10,776x = 97,066,876.07
  5. Step 5: Solve for x
    x = 97,066,876.07/10,776
  6. Step 6: Final answer
    x = 9,007.69

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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.