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Finding the Fourth Proportional to 10,438.60, 15,657.60 and 4,196.68

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Solution

The fourth proportional to 10,438.60, 15,657.60 and 4,196.68 is: 6,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.60 : 15,657.60 = 4,196.68 : x
  2. Step 2: Convert to fraction form
    10,438.60/15,657.60 = 4,196.68/x
  3. Step 3: Cross multiply
    10,438.60x = 15,657.60 × 4,196.68
  4. Step 4: Simplify right side
    10,438.60x = 65,709,936.77
  5. Step 5: Solve for x
    x = 65,709,936.77/10,438.60
  6. Step 6: Final answer
    x = 6,294.90

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1.5x scale

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.