Home / 10,306.28-14,222.10-5,829.77

Finding the Fourth Proportional to 10,306.28, 14,222.10 and 5,829.77

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Solution

The fourth proportional to 10,306.28, 14,222.10 and 5,829.77 is: 8,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.28 : 14,222.10 = 5,829.77 : x
  2. Step 2: Convert to fraction form
    10,306.28/14,222.10 = 5,829.77/x
  3. Step 3: Cross multiply
    10,306.28x = 14,222.10 × 5,829.77
  4. Step 4: Simplify right side
    10,306.28x = 82,911,571.92
  5. Step 5: Solve for x
    x = 82,911,571.92/10,306.28
  6. Step 6: Final answer
    x = 8,044.76

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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.