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Finding the Fourth Proportional to 7,804.95, 11,693.24 and 4,511.08

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Solution

The fourth proportional to 7,804.95, 11,693.24 and 4,511.08 is: 6,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.95 : 11,693.24 = 4,511.08 : x
  2. Step 2: Convert to fraction form
    7,804.95/11,693.24 = 4,511.08/x
  3. Step 3: Cross multiply
    7,804.95x = 11,693.24 × 4,511.08
  4. Step 4: Simplify right side
    7,804.95x = 52,749,141.10
  5. Step 5: Solve for x
    x = 52,749,141.10/7,804.95
  6. Step 6: Final answer
    x = 6,758.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.