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Finding the Fourth Proportional to 16,340.91, 24,509.05 and 5,246.16

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Solution

The fourth proportional to 16,340.91, 24,509.05 and 5,246.16 is: 7,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.91 : 24,509.05 = 5,246.16 : x
  2. Step 2: Convert to fraction form
    16,340.91/24,509.05 = 5,246.16/x
  3. Step 3: Cross multiply
    16,340.91x = 24,509.05 × 5,246.16
  4. Step 4: Simplify right side
    16,340.91x = 128,578,397.75
  5. Step 5: Solve for x
    x = 128,578,397.75/16,340.91
  6. Step 6: Final answer
    x = 7,868.50

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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.