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Finding the Fourth Proportional to 10,494.64, 14,482.08 and 6,768.64

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Solution

The fourth proportional to 10,494.64, 14,482.08 and 6,768.64 is: 9,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.64 : 14,482.08 = 6,768.64 : x
  2. Step 2: Convert to fraction form
    10,494.64/14,482.08 = 6,768.64/x
  3. Step 3: Cross multiply
    10,494.64x = 14,482.08 × 6,768.64
  4. Step 4: Simplify right side
    10,494.64x = 98,023,985.97
  5. Step 5: Solve for x
    x = 98,023,985.97/10,494.64
  6. Step 6: Final answer
    x = 9,340.39

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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.