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Finding the Fourth Proportional to 9,761.56, 14,627.55 and 6,462.83

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Solution

The fourth proportional to 9,761.56, 14,627.55 and 6,462.83 is: 9,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.56 : 14,627.55 = 6,462.83 : x
  2. Step 2: Convert to fraction form
    9,761.56/14,627.55 = 6,462.83/x
  3. Step 3: Cross multiply
    9,761.56x = 14,627.55 × 6,462.83
  4. Step 4: Simplify right side
    9,761.56x = 94,535,368.97
  5. Step 5: Solve for x
    x = 94,535,368.97/9,761.56
  6. Step 6: Final answer
    x = 9,684.45

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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.