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Finding the Fourth Proportional to 11,496.99, 15,865.50 and 6,461.10

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Solution

The fourth proportional to 11,496.99, 15,865.50 and 6,461.10 is: 8,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.99 : 15,865.50 = 6,461.10 : x
  2. Step 2: Convert to fraction form
    11,496.99/15,865.50 = 6,461.10/x
  3. Step 3: Cross multiply
    11,496.99x = 15,865.50 × 6,461.10
  4. Step 4: Simplify right side
    11,496.99x = 102,508,582.05
  5. Step 5: Solve for x
    x = 102,508,582.05/11,496.99
  6. Step 6: Final answer
    x = 8,916.12

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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.