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Finding the Fourth Proportional to 10,775.44, 14,867.04 and 6,466.78

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Solution

The fourth proportional to 10,775.44, 14,867.04 and 6,466.78 is: 8,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.44 : 14,867.04 = 6,466.78 : x
  2. Step 2: Convert to fraction form
    10,775.44/14,867.04 = 6,466.78/x
  3. Step 3: Cross multiply
    10,775.44x = 14,867.04 × 6,466.78
  4. Step 4: Simplify right side
    10,775.44x = 96,141,876.93
  5. Step 5: Solve for x
    x = 96,141,876.93/10,775.44
  6. Step 6: Final answer
    x = 8,922.32

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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.