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Finding the Fourth Proportional to 10,484.88, 14,468.88 and 5,769.12

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Solution

The fourth proportional to 10,484.88, 14,468.88 and 5,769.12 is: 7,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.88 : 14,468.88 = 5,769.12 : x
  2. Step 2: Convert to fraction form
    10,484.88/14,468.88 = 5,769.12/x
  3. Step 3: Cross multiply
    10,484.88x = 14,468.88 × 5,769.12
  4. Step 4: Simplify right side
    10,484.88x = 83,472,704.99
  5. Step 5: Solve for x
    x = 83,472,704.99/10,484.88
  6. Step 6: Final answer
    x = 7,961.25

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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.