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Finding the Fourth Proportional to 7,130.20, 9,840.24 and 4,147

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Solution

The fourth proportional to 7,130.20, 9,840.24 and 4,147 is: 5,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.20 : 9,840.24 = 4,147 : x
  2. Step 2: Convert to fraction form
    7,130.20/9,840.24 = 4,147/x
  3. Step 3: Cross multiply
    7,130.20x = 9,840.24 × 4,147
  4. Step 4: Simplify right side
    7,130.20x = 40,807,475.28
  5. Step 5: Solve for x
    x = 40,807,475.28/7,130.20
  6. Step 6: Final answer
    x = 5,723.19

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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.