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Finding the Fourth Proportional to 10,217, 14,099.46 and 6,237.48

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Solution

The fourth proportional to 10,217, 14,099.46 and 6,237.48 is: 8,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 14,099.46 = 6,237.48 : x
  2. Step 2: Convert to fraction form
    10,217/14,099.46 = 6,237.48/x
  3. Step 3: Cross multiply
    10,217x = 14,099.46 × 6,237.48
  4. Step 4: Simplify right side
    10,217x = 87,945,099.76
  5. Step 5: Solve for x
    x = 87,945,099.76/10,217
  6. Step 6: Final answer
    x = 8,607.72

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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.