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Finding the Fourth Proportional to 4,761.60, 7,142.40 and 4,405.20

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Solution

The fourth proportional to 4,761.60, 7,142.40 and 4,405.20 is: 6,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.60 : 7,142.40 = 4,405.20 : x
  2. Step 2: Convert to fraction form
    4,761.60/7,142.40 = 4,405.20/x
  3. Step 3: Cross multiply
    4,761.60x = 7,142.40 × 4,405.20
  4. Step 4: Simplify right side
    4,761.60x = 31,463,700.48
  5. Step 5: Solve for x
    x = 31,463,700.48/4,761.60
  6. Step 6: Final answer
    x = 6,607.80

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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.