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Finding the Fourth Proportional to 7,833.36, 10,783.08 and 6,837.06

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Solution

The fourth proportional to 7,833.36, 10,783.08 and 6,837.06 is: 9,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.36 : 10,783.08 = 6,837.06 : x
  2. Step 2: Convert to fraction form
    7,833.36/10,783.08 = 6,837.06/x
  3. Step 3: Cross multiply
    7,833.36x = 10,783.08 × 6,837.06
  4. Step 4: Simplify right side
    7,833.36x = 73,724,564.94
  5. Step 5: Solve for x
    x = 73,724,564.94/7,833.36
  6. Step 6: Final answer
    x = 9,411.61

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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.