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Finding the Fourth Proportional to 6,810.15, 9,394.79 and 5,826.00

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Solution

The fourth proportional to 6,810.15, 9,394.79 and 5,826.00 is: 8,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.15 : 9,394.79 = 5,826.00 : x
  2. Step 2: Convert to fraction form
    6,810.15/9,394.79 = 5,826.00/x
  3. Step 3: Cross multiply
    6,810.15x = 9,394.79 × 5,826.00
  4. Step 4: Simplify right side
    6,810.15x = 54,733,970.44
  5. Step 5: Solve for x
    x = 54,733,970.44/6,810.15
  6. Step 6: Final answer
    x = 8,037.12

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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.