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Finding the Fourth Proportional to 7,852.91, 11,780.96 and 7,068.70

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Solution

The fourth proportional to 7,852.91, 11,780.96 and 7,068.70 is: 10,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.91 : 11,780.96 = 7,068.70 : x
  2. Step 2: Convert to fraction form
    7,852.91/11,780.96 = 7,068.70/x
  3. Step 3: Cross multiply
    7,852.91x = 11,780.96 × 7,068.70
  4. Step 4: Simplify right side
    7,852.91x = 83,276,007.16
  5. Step 5: Solve for x
    x = 83,276,007.16/7,852.91
  6. Step 6: Final answer
    x = 10,604.48

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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.