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Finding the Fourth Proportional to 16,145, 22,289.24 and 10,484.81

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Solution

The fourth proportional to 16,145, 22,289.24 and 10,484.81 is: 14,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145 : 22,289.24 = 10,484.81 : x
  2. Step 2: Convert to fraction form
    16,145/22,289.24 = 10,484.81/x
  3. Step 3: Cross multiply
    16,145x = 22,289.24 × 10,484.81
  4. Step 4: Simplify right side
    16,145x = 233,698,394.02
  5. Step 5: Solve for x
    x = 233,698,394.02/16,145
  6. Step 6: Final answer
    x = 14,474.97

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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.