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Finding the Fourth Proportional to 9,378.51, 12,936.24 and 6,016.00

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Solution

The fourth proportional to 9,378.51, 12,936.24 and 6,016.00 is: 8,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.51 : 12,936.24 = 6,016.00 : x
  2. Step 2: Convert to fraction form
    9,378.51/12,936.24 = 6,016.00/x
  3. Step 3: Cross multiply
    9,378.51x = 12,936.24 × 6,016.00
  4. Step 4: Simplify right side
    9,378.51x = 77,824,355.16
  5. Step 5: Solve for x
    x = 77,824,355.16/9,378.51
  6. Step 6: Final answer
    x = 8,298.16

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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.