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Finding the Fourth Proportional to 11,352.09, 15,665.90 and 6,384.09

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Solution

The fourth proportional to 11,352.09, 15,665.90 and 6,384.09 is: 8,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.09 : 15,665.90 = 6,384.09 : x
  2. Step 2: Convert to fraction form
    11,352.09/15,665.90 = 6,384.09/x
  3. Step 3: Cross multiply
    11,352.09x = 15,665.90 × 6,384.09
  4. Step 4: Simplify right side
    11,352.09x = 100,012,515.53
  5. Step 5: Solve for x
    x = 100,012,515.53/11,352.09
  6. Step 6: Final answer
    x = 8,810.05

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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.