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Finding the Fourth Proportional to 10,455.34, 14,428.67 and 5,917.67

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Solution

The fourth proportional to 10,455.34, 14,428.67 and 5,917.67 is: 8,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.34 : 14,428.67 = 5,917.67 : x
  2. Step 2: Convert to fraction form
    10,455.34/14,428.67 = 5,917.67/x
  3. Step 3: Cross multiply
    10,455.34x = 14,428.67 × 5,917.67
  4. Step 4: Simplify right side
    10,455.34x = 85,384,107.60
  5. Step 5: Solve for x
    x = 85,384,107.60/10,455.34
  6. Step 6: Final answer
    x = 8,166.55

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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.