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Finding the Fourth Proportional to 9,769.96, 14,654.94 and 7,434.76

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Solution

The fourth proportional to 9,769.96, 14,654.94 and 7,434.76 is: 11,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.96 : 14,654.94 = 7,434.76 : x
  2. Step 2: Convert to fraction form
    9,769.96/14,654.94 = 7,434.76/x
  3. Step 3: Cross multiply
    9,769.96x = 14,654.94 × 7,434.76
  4. Step 4: Simplify right side
    9,769.96x = 108,955,961.71
  5. Step 5: Solve for x
    x = 108,955,961.71/9,769.96
  6. Step 6: Final answer
    x = 11,152.14

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.