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Finding the Fourth Proportional to 10,473.99, 14,454.16 and 5,693.97

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Solution

The fourth proportional to 10,473.99, 14,454.16 and 5,693.97 is: 7,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.99 : 14,454.16 = 5,693.97 : x
  2. Step 2: Convert to fraction form
    10,473.99/14,454.16 = 5,693.97/x
  3. Step 3: Cross multiply
    10,473.99x = 14,454.16 × 5,693.97
  4. Step 4: Simplify right side
    10,473.99x = 82,301,481.14
  5. Step 5: Solve for x
    x = 82,301,481.14/10,473.99
  6. Step 6: Final answer
    x = 7,857.70

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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.