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Finding the Fourth Proportional to 9,491.63, 13,098.65 and 5,299.88

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Solution

The fourth proportional to 9,491.63, 13,098.65 and 5,299.88 is: 7,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.63 : 13,098.65 = 5,299.88 : x
  2. Step 2: Convert to fraction form
    9,491.63/13,098.65 = 5,299.88/x
  3. Step 3: Cross multiply
    9,491.63x = 13,098.65 × 5,299.88
  4. Step 4: Simplify right side
    9,491.63x = 69,421,181.17
  5. Step 5: Solve for x
    x = 69,421,181.17/9,491.63
  6. Step 6: Final answer
    x = 7,313.94

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Similar ratio
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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.