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Finding the Fourth Proportional to 7,946.91, 11,016.98 and 7,525.62

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Solution

The fourth proportional to 7,946.91, 11,016.98 and 7,525.62 is: 10,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.91 : 11,016.98 = 7,525.62 : x
  2. Step 2: Convert to fraction form
    7,946.91/11,016.98 = 7,525.62/x
  3. Step 3: Cross multiply
    7,946.91x = 11,016.98 × 7,525.62
  4. Step 4: Simplify right side
    7,946.91x = 82,909,567.40
  5. Step 5: Solve for x
    x = 82,909,567.40/7,946.91
  6. Step 6: Final answer
    x = 10,432.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.