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Finding the Fourth Proportional to 11,933.61, 16,473.81 and 7,459.98

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Solution

The fourth proportional to 11,933.61, 16,473.81 and 7,459.98 is: 10,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.61 : 16,473.81 = 7,459.98 : x
  2. Step 2: Convert to fraction form
    11,933.61/16,473.81 = 7,459.98/x
  3. Step 3: Cross multiply
    11,933.61x = 16,473.81 × 7,459.98
  4. Step 4: Simplify right side
    11,933.61x = 122,894,293.12
  5. Step 5: Solve for x
    x = 122,894,293.12/11,933.61
  6. Step 6: Final answer
    x = 10,298.17

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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.