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Finding the Fourth Proportional to 9,668.28, 14,500.86 and 8,035.32

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Solution

The fourth proportional to 9,668.28, 14,500.86 and 8,035.32 is: 12,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.28 : 14,500.86 = 8,035.32 : x
  2. Step 2: Convert to fraction form
    9,668.28/14,500.86 = 8,035.32/x
  3. Step 3: Cross multiply
    9,668.28x = 14,500.86 × 8,035.32
  4. Step 4: Simplify right side
    9,668.28x = 116,519,050.38
  5. Step 5: Solve for x
    x = 116,519,050.38/9,668.28
  6. Step 6: Final answer
    x = 12,051.68

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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.