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Finding the Fourth Proportional to 10,709.96, 14,765.96 and 6,926.45

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Solution

The fourth proportional to 10,709.96, 14,765.96 and 6,926.45 is: 9,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.96 : 14,765.96 = 6,926.45 : x
  2. Step 2: Convert to fraction form
    10,709.96/14,765.96 = 6,926.45/x
  3. Step 3: Cross multiply
    10,709.96x = 14,765.96 × 6,926.45
  4. Step 4: Simplify right side
    10,709.96x = 102,275,627.13
  5. Step 5: Solve for x
    x = 102,275,627.13/10,709.96
  6. Step 6: Final answer
    x = 9,549.59

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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.