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Finding the Fourth Proportional to 7,847.62, 11,826.55 and 7,068.58

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Solution

The fourth proportional to 7,847.62, 11,826.55 and 7,068.58 is: 10,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.62 : 11,826.55 = 7,068.58 : x
  2. Step 2: Convert to fraction form
    7,847.62/11,826.55 = 7,068.58/x
  3. Step 3: Cross multiply
    7,847.62x = 11,826.55 × 7,068.58
  4. Step 4: Simplify right side
    7,847.62x = 83,596,914.80
  5. Step 5: Solve for x
    x = 83,596,914.80/7,847.62
  6. Step 6: Final answer
    x = 10,652.52

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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.