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Finding the Fourth Proportional to 7,833.30, 10,815.06 and 4,853.34

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Solution

The fourth proportional to 7,833.30, 10,815.06 and 4,853.34 is: 6,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.30 : 10,815.06 = 4,853.34 : x
  2. Step 2: Convert to fraction form
    7,833.30/10,815.06 = 4,853.34/x
  3. Step 3: Cross multiply
    7,833.30x = 10,815.06 × 4,853.34
  4. Step 4: Simplify right side
    7,833.30x = 52,489,163.30
  5. Step 5: Solve for x
    x = 52,489,163.30/7,833.30
  6. Step 6: Final answer
    x = 6,700.77

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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.