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Finding the Fourth Proportional to 7,847.58, 10,829.16 and 7,220.64

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Solution

The fourth proportional to 7,847.58, 10,829.16 and 7,220.64 is: 9,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.58 : 10,829.16 = 7,220.64 : x
  2. Step 2: Convert to fraction form
    7,847.58/10,829.16 = 7,220.64/x
  3. Step 3: Cross multiply
    7,847.58x = 10,829.16 × 7,220.64
  4. Step 4: Simplify right side
    7,847.58x = 78,193,465.86
  5. Step 5: Solve for x
    x = 78,193,465.86/7,847.58
  6. Step 6: Final answer
    x = 9,964.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.