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Finding the Fourth Proportional to 14,049.76, 19,389.06 and 7,762.54

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Solution

The fourth proportional to 14,049.76, 19,389.06 and 7,762.54 is: 10,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.76 : 19,389.06 = 7,762.54 : x
  2. Step 2: Convert to fraction form
    14,049.76/19,389.06 = 7,762.54/x
  3. Step 3: Cross multiply
    14,049.76x = 19,389.06 × 7,762.54
  4. Step 4: Simplify right side
    14,049.76x = 150,508,353.81
  5. Step 5: Solve for x
    x = 150,508,353.81/14,049.76
  6. Step 6: Final answer
    x = 10,712.52

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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.