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Finding the Fourth Proportional to 10,496.44, 14,484.54 and 5,780.44

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Solution

The fourth proportional to 10,496.44, 14,484.54 and 5,780.44 is: 7,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.44 : 14,484.54 = 5,780.44 : x
  2. Step 2: Convert to fraction form
    10,496.44/14,484.54 = 5,780.44/x
  3. Step 3: Cross multiply
    10,496.44x = 14,484.54 × 5,780.44
  4. Step 4: Simplify right side
    10,496.44x = 83,727,014.40
  5. Step 5: Solve for x
    x = 83,727,014.40/10,496.44
  6. Step 6: Final answer
    x = 7,976.71

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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.