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Finding the Fourth Proportional to 7,785.28, 11,729.93 and 7,045.88

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Solution

The fourth proportional to 7,785.28, 11,729.93 and 7,045.88 is: 10,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.28 : 11,729.93 = 7,045.88 : x
  2. Step 2: Convert to fraction form
    7,785.28/11,729.93 = 7,045.88/x
  3. Step 3: Cross multiply
    7,785.28x = 11,729.93 × 7,045.88
  4. Step 4: Simplify right side
    7,785.28x = 82,647,643.96
  5. Step 5: Solve for x
    x = 82,647,643.96/7,785.28
  6. Step 6: Final answer
    x = 10,615.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.