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Finding the Fourth Proportional to 11,513.88, 15,888.02 and 6,477.99

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Solution

The fourth proportional to 11,513.88, 15,888.02 and 6,477.99 is: 8,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.88 : 15,888.02 = 6,477.99 : x
  2. Step 2: Convert to fraction form
    11,513.88/15,888.02 = 6,477.99/x
  3. Step 3: Cross multiply
    11,513.88x = 15,888.02 × 6,477.99
  4. Step 4: Simplify right side
    11,513.88x = 102,922,452.25
  5. Step 5: Solve for x
    x = 102,922,452.25/11,513.88
  6. Step 6: Final answer
    x = 8,938.99

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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.