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Finding the Fourth Proportional to 16,059.10, 24,088.65 and 6,823.90

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Solution

The fourth proportional to 16,059.10, 24,088.65 and 6,823.90 is: 10,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.10 : 24,088.65 = 6,823.90 : x
  2. Step 2: Convert to fraction form
    16,059.10/24,088.65 = 6,823.90/x
  3. Step 3: Cross multiply
    16,059.10x = 24,088.65 × 6,823.90
  4. Step 4: Simplify right side
    16,059.10x = 164,378,538.74
  5. Step 5: Solve for x
    x = 164,378,538.74/16,059.10
  6. Step 6: Final answer
    x = 10,235.85

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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.