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Finding the Fourth Proportional to 14,548.84, 21,831.09 and 5,783.84

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Solution

The fourth proportional to 14,548.84, 21,831.09 and 5,783.84 is: 8,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.84 : 21,831.09 = 5,783.84 : x
  2. Step 2: Convert to fraction form
    14,548.84/21,831.09 = 5,783.84/x
  3. Step 3: Cross multiply
    14,548.84x = 21,831.09 × 5,783.84
  4. Step 4: Simplify right side
    14,548.84x = 126,267,531.59
  5. Step 5: Solve for x
    x = 126,267,531.59/14,548.84
  6. Step 6: Final answer
    x = 8,678.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.