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Finding the Fourth Proportional to 11,578.54, 15,961.64 and 7,592.74

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Solution

The fourth proportional to 11,578.54, 15,961.64 and 7,592.74 is: 10,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.54 : 15,961.64 = 7,592.74 : x
  2. Step 2: Convert to fraction form
    11,578.54/15,961.64 = 7,592.74/x
  3. Step 3: Cross multiply
    11,578.54x = 15,961.64 × 7,592.74
  4. Step 4: Simplify right side
    11,578.54x = 121,192,582.49
  5. Step 5: Solve for x
    x = 121,192,582.49/11,578.54
  6. Step 6: Final answer
    x = 10,467.00

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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.