Home / 9,230-12,743.16-5,923.76

Finding the Fourth Proportional to 9,230, 12,743.16 and 5,923.76

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Solution

The fourth proportional to 9,230, 12,743.16 and 5,923.76 is: 8,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230 : 12,743.16 = 5,923.76 : x
  2. Step 2: Convert to fraction form
    9,230/12,743.16 = 5,923.76/x
  3. Step 3: Cross multiply
    9,230x = 12,743.16 × 5,923.76
  4. Step 4: Simplify right side
    9,230x = 75,487,421.48
  5. Step 5: Solve for x
    x = 75,487,421.48/9,230
  6. Step 6: Final answer
    x = 8,178.49

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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.