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Finding the Fourth Proportional to 16,289.84, 24,434.58 and 3,977.84

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Solution

The fourth proportional to 16,289.84, 24,434.58 and 3,977.84 is: 5,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.84 : 24,434.58 = 3,977.84 : x
  2. Step 2: Convert to fraction form
    16,289.84/24,434.58 = 3,977.84/x
  3. Step 3: Cross multiply
    16,289.84x = 24,434.58 × 3,977.84
  4. Step 4: Simplify right side
    16,289.84x = 97,196,849.71
  5. Step 5: Solve for x
    x = 97,196,849.71/16,289.84
  6. Step 6: Final answer
    x = 5,966.72

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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.