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Finding the Fourth Proportional to 9,683.50, 14,526.90 and 4,139.50

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Solution

The fourth proportional to 9,683.50, 14,526.90 and 4,139.50 is: 6,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.50 : 14,526.90 = 4,139.50 : x
  2. Step 2: Convert to fraction form
    9,683.50/14,526.90 = 4,139.50/x
  3. Step 3: Cross multiply
    9,683.50x = 14,526.90 × 4,139.50
  4. Step 4: Simplify right side
    9,683.50x = 60,134,102.55
  5. Step 5: Solve for x
    x = 60,134,102.55/9,683.50
  6. Step 6: Final answer
    x = 6,209.96

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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.