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Finding the Fourth Proportional to 10,064.88, 13,888.08 and 5,872.32

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Solution

The fourth proportional to 10,064.88, 13,888.08 and 5,872.32 is: 8,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.88 : 13,888.08 = 5,872.32 : x
  2. Step 2: Convert to fraction form
    10,064.88/13,888.08 = 5,872.32/x
  3. Step 3: Cross multiply
    10,064.88x = 13,888.08 × 5,872.32
  4. Step 4: Simplify right side
    10,064.88x = 81,555,249.95
  5. Step 5: Solve for x
    x = 81,555,249.95/10,064.88
  6. Step 6: Final answer
    x = 8,102.95

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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.