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Finding the Fourth Proportional to 11,775.24, 16,250.22 and 6,470.24

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Solution

The fourth proportional to 11,775.24, 16,250.22 and 6,470.24 is: 8,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.24 : 16,250.22 = 6,470.24 : x
  2. Step 2: Convert to fraction form
    11,775.24/16,250.22 = 6,470.24/x
  3. Step 3: Cross multiply
    11,775.24x = 16,250.22 × 6,470.24
  4. Step 4: Simplify right side
    11,775.24x = 105,142,742.20
  5. Step 5: Solve for x
    x = 105,142,742.20/11,775.24
  6. Step 6: Final answer
    x = 8,929.14

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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.