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Finding the Fourth Proportional to 10,878.84, 15,014.16 and 6,164.64

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Solution

The fourth proportional to 10,878.84, 15,014.16 and 6,164.64 is: 8,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.84 : 15,014.16 = 6,164.64 : x
  2. Step 2: Convert to fraction form
    10,878.84/15,014.16 = 6,164.64/x
  3. Step 3: Cross multiply
    10,878.84x = 15,014.16 × 6,164.64
  4. Step 4: Simplify right side
    10,878.84x = 92,556,891.30
  5. Step 5: Solve for x
    x = 92,556,891.30/10,878.84
  6. Step 6: Final answer
    x = 8,507.97

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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.