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Finding the Fourth Proportional to 7,421.40, 10,242.90 and 4,234.68

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Solution

The fourth proportional to 7,421.40, 10,242.90 and 4,234.68 is: 5,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.40 : 10,242.90 = 4,234.68 : x
  2. Step 2: Convert to fraction form
    7,421.40/10,242.90 = 4,234.68/x
  3. Step 3: Cross multiply
    7,421.40x = 10,242.90 × 4,234.68
  4. Step 4: Simplify right side
    7,421.40x = 43,375,403.77
  5. Step 5: Solve for x
    x = 43,375,403.77/7,421.40
  6. Step 6: Final answer
    x = 5,844.64

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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.