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Finding the Fourth Proportional to 10,419.71, 15,632.19 and 3,024

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Solution

The fourth proportional to 10,419.71, 15,632.19 and 3,024 is: 4,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.71 : 15,632.19 = 3,024 : x
  2. Step 2: Convert to fraction form
    10,419.71/15,632.19 = 3,024/x
  3. Step 3: Cross multiply
    10,419.71x = 15,632.19 × 3,024
  4. Step 4: Simplify right side
    10,419.71x = 47,271,742.56
  5. Step 5: Solve for x
    x = 47,271,742.56/10,419.71
  6. Step 6: Final answer
    x = 4,536.76

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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.