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Finding the Fourth Proportional to 7,261.60, 10,892.40 and 6,455.20

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Solution

The fourth proportional to 7,261.60, 10,892.40 and 6,455.20 is: 9,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.60 : 10,892.40 = 6,455.20 : x
  2. Step 2: Convert to fraction form
    7,261.60/10,892.40 = 6,455.20/x
  3. Step 3: Cross multiply
    7,261.60x = 10,892.40 × 6,455.20
  4. Step 4: Simplify right side
    7,261.60x = 70,312,620.48
  5. Step 5: Solve for x
    x = 70,312,620.48/7,261.60
  6. Step 6: Final answer
    x = 9,682.80

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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.