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Finding the Fourth Proportional to 9,374.96, 12,933.06 and 6,016.16

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Solution

The fourth proportional to 9,374.96, 12,933.06 and 6,016.16 is: 8,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.96 : 12,933.06 = 6,016.16 : x
  2. Step 2: Convert to fraction form
    9,374.96/12,933.06 = 6,016.16/x
  3. Step 3: Cross multiply
    9,374.96x = 12,933.06 × 6,016.16
  4. Step 4: Simplify right side
    9,374.96x = 77,807,358.25
  5. Step 5: Solve for x
    x = 77,807,358.25/9,374.96
  6. Step 6: Final answer
    x = 8,299.49

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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.