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Finding the Fourth Proportional to 11,496.84, 15,866.03 and 6,460.94

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Solution

The fourth proportional to 11,496.84, 15,866.03 and 6,460.94 is: 8,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.84 : 15,866.03 = 6,460.94 : x
  2. Step 2: Convert to fraction form
    11,496.84/15,866.03 = 6,460.94/x
  3. Step 3: Cross multiply
    11,496.84x = 15,866.03 × 6,460.94
  4. Step 4: Simplify right side
    11,496.84x = 102,509,523.69
  5. Step 5: Solve for x
    x = 102,509,523.69/11,496.84
  6. Step 6: Final answer
    x = 8,916.32

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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.