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Finding the Fourth Proportional to 7,751.30, 11,633.83 and 5,111.40

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Solution

The fourth proportional to 7,751.30, 11,633.83 and 5,111.40 is: 7,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.30 : 11,633.83 = 5,111.40 : x
  2. Step 2: Convert to fraction form
    7,751.30/11,633.83 = 5,111.40/x
  3. Step 3: Cross multiply
    7,751.30x = 11,633.83 × 5,111.40
  4. Step 4: Simplify right side
    7,751.30x = 59,465,189.51
  5. Step 5: Solve for x
    x = 59,465,189.51/7,751.30
  6. Step 6: Final answer
    x = 7,671.65

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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.