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Finding the Fourth Proportional to 11,547.96, 15,934.38 and 6,579

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Solution

The fourth proportional to 11,547.96, 15,934.38 and 6,579 is: 9,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.96 : 15,934.38 = 6,579 : x
  2. Step 2: Convert to fraction form
    11,547.96/15,934.38 = 6,579/x
  3. Step 3: Cross multiply
    11,547.96x = 15,934.38 × 6,579
  4. Step 4: Simplify right side
    11,547.96x = 104,832,286.02
  5. Step 5: Solve for x
    x = 104,832,286.02/11,547.96
  6. Step 6: Final answer
    x = 9,077.99

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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.