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Finding the Fourth Proportional to 11,491.01, 15,863.65 and 7,733.93

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Solution

The fourth proportional to 11,491.01, 15,863.65 and 7,733.93 is: 10,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.01 : 15,863.65 = 7,733.93 : x
  2. Step 2: Convert to fraction form
    11,491.01/15,863.65 = 7,733.93/x
  3. Step 3: Cross multiply
    11,491.01x = 15,863.65 × 7,733.93
  4. Step 4: Simplify right side
    11,491.01x = 122,688,259.99
  5. Step 5: Solve for x
    x = 122,688,259.99/11,491.01
  6. Step 6: Final answer
    x = 10,676.89

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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.