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Finding the Fourth Proportional to 10,594.50, 15,898.23 and 4,438.50

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Solution

The fourth proportional to 10,594.50, 15,898.23 and 4,438.50 is: 6,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.50 : 15,898.23 = 4,438.50 : x
  2. Step 2: Convert to fraction form
    10,594.50/15,898.23 = 4,438.50/x
  3. Step 3: Cross multiply
    10,594.50x = 15,898.23 × 4,438.50
  4. Step 4: Simplify right side
    10,594.50x = 70,564,293.86
  5. Step 5: Solve for x
    x = 70,564,293.86/10,594.50
  6. Step 6: Final answer
    x = 6,660.46

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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.