Home / 10,306.14-14,220.10-5,828.92

Finding the Fourth Proportional to 10,306.14, 14,220.10 and 5,828.92

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Solution

The fourth proportional to 10,306.14, 14,220.10 and 5,828.92 is: 8,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.14 : 14,220.10 = 5,828.92 : x
  2. Step 2: Convert to fraction form
    10,306.14/14,220.10 = 5,828.92/x
  3. Step 3: Cross multiply
    10,306.14x = 14,220.10 × 5,828.92
  4. Step 4: Simplify right side
    10,306.14x = 82,887,825.29
  5. Step 5: Solve for x
    x = 82,887,825.29/10,306.14
  6. Step 6: Final answer
    x = 8,042.57

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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.