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Finding the Fourth Proportional to 10,504.64, 14,496.64 and 5,788.96

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Solution

The fourth proportional to 10,504.64, 14,496.64 and 5,788.96 is: 7,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.64 : 14,496.64 = 5,788.96 : x
  2. Step 2: Convert to fraction form
    10,504.64/14,496.64 = 5,788.96/x
  3. Step 3: Cross multiply
    10,504.64x = 14,496.64 × 5,788.96
  4. Step 4: Simplify right side
    10,504.64x = 83,920,469.09
  5. Step 5: Solve for x
    x = 83,920,469.09/10,504.64
  6. Step 6: Final answer
    x = 7,988.90

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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.