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Finding the Fourth Proportional to 9,761.16, 13,463.72 and 6,180.67

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Solution

The fourth proportional to 9,761.16, 13,463.72 and 6,180.67 is: 8,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.16 : 13,463.72 = 6,180.67 : x
  2. Step 2: Convert to fraction form
    9,761.16/13,463.72 = 6,180.67/x
  3. Step 3: Cross multiply
    9,761.16x = 13,463.72 × 6,180.67
  4. Step 4: Simplify right side
    9,761.16x = 83,214,854.16
  5. Step 5: Solve for x
    x = 83,214,854.16/9,761.16
  6. Step 6: Final answer
    x = 8,525.10

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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.