Home / 10,306.62-14,224-5,831.17

Finding the Fourth Proportional to 10,306.62, 14,224 and 5,831.17

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Solution

The fourth proportional to 10,306.62, 14,224 and 5,831.17 is: 8,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.62 : 14,224 = 5,831.17 : x
  2. Step 2: Convert to fraction form
    10,306.62/14,224 = 5,831.17/x
  3. Step 3: Cross multiply
    10,306.62x = 14,224 × 5,831.17
  4. Step 4: Simplify right side
    10,306.62x = 82,942,562.08
  5. Step 5: Solve for x
    x = 82,942,562.08/10,306.62
  6. Step 6: Final answer
    x = 8,047.50

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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.