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Finding the Fourth Proportional to 11,527, 15,908.34 and 6,559

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Solution

The fourth proportional to 11,527, 15,908.34 and 6,559 is: 9,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527 : 15,908.34 = 6,559 : x
  2. Step 2: Convert to fraction form
    11,527/15,908.34 = 6,559/x
  3. Step 3: Cross multiply
    11,527x = 15,908.34 × 6,559
  4. Step 4: Simplify right side
    11,527x = 104,342,802.06
  5. Step 5: Solve for x
    x = 104,342,802.06/11,527
  6. Step 6: Final answer
    x = 9,052.03

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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.