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Finding the Fourth Proportional to 11,509.29, 15,882.89 and 6,795.90

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Solution

The fourth proportional to 11,509.29, 15,882.89 and 6,795.90 is: 9,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.29 : 15,882.89 = 6,795.90 : x
  2. Step 2: Convert to fraction form
    11,509.29/15,882.89 = 6,795.90/x
  3. Step 3: Cross multiply
    11,509.29x = 15,882.89 × 6,795.90
  4. Step 4: Simplify right side
    11,509.29x = 107,938,498.17
  5. Step 5: Solve for x
    x = 107,938,498.17/11,509.29
  6. Step 6: Final answer
    x = 9,378.38

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1.5x scale

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.