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Finding the Fourth Proportional to 11,789.15, 16,264.19 and 7,539.08

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Solution

The fourth proportional to 11,789.15, 16,264.19 and 7,539.08 is: 10,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.15 : 16,264.19 = 7,539.08 : x
  2. Step 2: Convert to fraction form
    11,789.15/16,264.19 = 7,539.08/x
  3. Step 3: Cross multiply
    11,789.15x = 16,264.19 × 7,539.08
  4. Step 4: Simplify right side
    11,789.15x = 122,616,967.07
  5. Step 5: Solve for x
    x = 122,616,967.07/11,789.15
  6. Step 6: Final answer
    x = 10,400.84

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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.