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Finding the Fourth Proportional to 6,537.63, 9,790.05 and 5,077.83

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Solution

The fourth proportional to 6,537.63, 9,790.05 and 5,077.83 is: 7,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.63 : 9,790.05 = 5,077.83 : x
  2. Step 2: Convert to fraction form
    6,537.63/9,790.05 = 5,077.83/x
  3. Step 3: Cross multiply
    6,537.63x = 9,790.05 × 5,077.83
  4. Step 4: Simplify right side
    6,537.63x = 49,712,209.59
  5. Step 5: Solve for x
    x = 49,712,209.59/6,537.63
  6. Step 6: Final answer
    x = 7,604.01

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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.