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Finding the Fourth Proportional to 9,496, 14,246.28 and 4,300.48

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Solution

The fourth proportional to 9,496, 14,246.28 and 4,300.48 is: 6,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 14,246.28 = 4,300.48 : x
  2. Step 2: Convert to fraction form
    9,496/14,246.28 = 4,300.48/x
  3. Step 3: Cross multiply
    9,496x = 14,246.28 × 4,300.48
  4. Step 4: Simplify right side
    9,496x = 61,265,842.21
  5. Step 5: Solve for x
    x = 61,265,842.21/9,496
  6. Step 6: Final answer
    x = 6,451.75

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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.