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Finding the Fourth Proportional to 11,595.96, 16,013.78 and 9,907.48

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Solution

The fourth proportional to 11,595.96, 16,013.78 and 9,907.48 is: 13,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.96 : 16,013.78 = 9,907.48 : x
  2. Step 2: Convert to fraction form
    11,595.96/16,013.78 = 9,907.48/x
  3. Step 3: Cross multiply
    11,595.96x = 16,013.78 × 9,907.48
  4. Step 4: Simplify right side
    11,595.96x = 158,656,205.07
  5. Step 5: Solve for x
    x = 158,656,205.07/11,595.96
  6. Step 6: Final answer
    x = 13,682.02

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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.