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Finding the Fourth Proportional to 8,430.13, 11,630.16 and 5,241.16

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Solution

The fourth proportional to 8,430.13, 11,630.16 and 5,241.16 is: 7,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.13 : 11,630.16 = 5,241.16 : x
  2. Step 2: Convert to fraction form
    8,430.13/11,630.16 = 5,241.16/x
  3. Step 3: Cross multiply
    8,430.13x = 11,630.16 × 5,241.16
  4. Step 4: Simplify right side
    8,430.13x = 60,955,529.39
  5. Step 5: Solve for x
    x = 60,955,529.39/8,430.13
  6. Step 6: Final answer
    x = 7,230.67

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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.