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Finding the Fourth Proportional to 10,462.96, 14,438.46 and 5,746.96

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Solution

The fourth proportional to 10,462.96, 14,438.46 and 5,746.96 is: 7,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.96 : 14,438.46 = 5,746.96 : x
  2. Step 2: Convert to fraction form
    10,462.96/14,438.46 = 5,746.96/x
  3. Step 3: Cross multiply
    10,462.96x = 14,438.46 × 5,746.96
  4. Step 4: Simplify right side
    10,462.96x = 82,977,252.08
  5. Step 5: Solve for x
    x = 82,977,252.08/10,462.96
  6. Step 6: Final answer
    x = 7,930.57

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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.