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Finding the Fourth Proportional to 10,504.88, 14,496.74 and 6,313.13

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Solution

The fourth proportional to 10,504.88, 14,496.74 and 6,313.13 is: 8,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.88 : 14,496.74 = 6,313.13 : x
  2. Step 2: Convert to fraction form
    10,504.88/14,496.74 = 6,313.13/x
  3. Step 3: Cross multiply
    10,504.88x = 14,496.74 × 6,313.13
  4. Step 4: Simplify right side
    10,504.88x = 91,519,700.15
  5. Step 5: Solve for x
    x = 91,519,700.15/10,504.88
  6. Step 6: Final answer
    x = 8,712.12

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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.