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Finding the Fourth Proportional to 14,099.44, 19,457.76 and 7,811.76

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Solution

The fourth proportional to 14,099.44, 19,457.76 and 7,811.76 is: 10,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.44 : 19,457.76 = 7,811.76 : x
  2. Step 2: Convert to fraction form
    14,099.44/19,457.76 = 7,811.76/x
  3. Step 3: Cross multiply
    14,099.44x = 19,457.76 × 7,811.76
  4. Step 4: Simplify right side
    14,099.44x = 151,999,351.26
  5. Step 5: Solve for x
    x = 151,999,351.26/14,099.44
  6. Step 6: Final answer
    x = 10,780.52

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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.