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Finding the Fourth Proportional to 7,166.86, 10,752.28 and 3,005.89

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Solution

The fourth proportional to 7,166.86, 10,752.28 and 3,005.89 is: 4,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.86 : 10,752.28 = 3,005.89 : x
  2. Step 2: Convert to fraction form
    7,166.86/10,752.28 = 3,005.89/x
  3. Step 3: Cross multiply
    7,166.86x = 10,752.28 × 3,005.89
  4. Step 4: Simplify right side
    7,166.86x = 32,320,136.53
  5. Step 5: Solve for x
    x = 32,320,136.53/7,166.86
  6. Step 6: Final answer
    x = 4,509.67

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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.