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Finding the Fourth Proportional to 6,427.60, 8,859.72 and 6,427.60

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Solution

The fourth proportional to 6,427.60, 8,859.72 and 6,427.60 is: 8,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.60 : 8,859.72 = 6,427.60 : x
  2. Step 2: Convert to fraction form
    6,427.60/8,859.72 = 6,427.60/x
  3. Step 3: Cross multiply
    6,427.60x = 8,859.72 × 6,427.60
  4. Step 4: Simplify right side
    6,427.60x = 56,946,736.27
  5. Step 5: Solve for x
    x = 56,946,736.27/6,427.60
  6. Step 6: Final answer
    x = 8,859.72

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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.