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Finding the Fourth Proportional to 10,473.60, 14,450.64 and 6,494.88

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Solution

The fourth proportional to 10,473.60, 14,450.64 and 6,494.88 is: 8,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.60 : 14,450.64 = 6,494.88 : x
  2. Step 2: Convert to fraction form
    10,473.60/14,450.64 = 6,494.88/x
  3. Step 3: Cross multiply
    10,473.60x = 14,450.64 × 6,494.88
  4. Step 4: Simplify right side
    10,473.60x = 93,855,172.72
  5. Step 5: Solve for x
    x = 93,855,172.72/10,473.60
  6. Step 6: Final answer
    x = 8,961.12

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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.