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Finding the Fourth Proportional to 11,775.86, 16,250.69 and 6,470.99

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Solution

The fourth proportional to 11,775.86, 16,250.69 and 6,470.99 is: 8,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.86 : 16,250.69 = 6,470.99 : x
  2. Step 2: Convert to fraction form
    11,775.86/16,250.69 = 6,470.99/x
  3. Step 3: Cross multiply
    11,775.86x = 16,250.69 × 6,470.99
  4. Step 4: Simplify right side
    11,775.86x = 105,157,987.41
  5. Step 5: Solve for x
    x = 105,157,987.41/11,775.86
  6. Step 6: Final answer
    x = 8,929.97

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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.