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Finding the Fourth Proportional to 10,751.56, 14,830.02 and 6,499.84

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Solution

The fourth proportional to 10,751.56, 14,830.02 and 6,499.84 is: 8,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.56 : 14,830.02 = 6,499.84 : x
  2. Step 2: Convert to fraction form
    10,751.56/14,830.02 = 6,499.84/x
  3. Step 3: Cross multiply
    10,751.56x = 14,830.02 × 6,499.84
  4. Step 4: Simplify right side
    10,751.56x = 96,392,757.20
  5. Step 5: Solve for x
    x = 96,392,757.20/10,751.56
  6. Step 6: Final answer
    x = 8,965.47

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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.