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Finding the Fourth Proportional to 6,507.76, 9,762.30 and 1,827.78

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Solution

The fourth proportional to 6,507.76, 9,762.30 and 1,827.78 is: 2,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.76 : 9,762.30 = 1,827.78 : x
  2. Step 2: Convert to fraction form
    6,507.76/9,762.30 = 1,827.78/x
  3. Step 3: Cross multiply
    6,507.76x = 9,762.30 × 1,827.78
  4. Step 4: Simplify right side
    6,507.76x = 17,843,327.56
  5. Step 5: Solve for x
    x = 17,843,327.56/6,507.76
  6. Step 6: Final answer
    x = 2,741.85

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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.