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Finding the Fourth Proportional to 16,561.64, 24,827.45 and 6,024.22

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Solution

The fourth proportional to 16,561.64, 24,827.45 and 6,024.22 is: 9,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.64 : 24,827.45 = 6,024.22 : x
  2. Step 2: Convert to fraction form
    16,561.64/24,827.45 = 6,024.22/x
  3. Step 3: Cross multiply
    16,561.64x = 24,827.45 × 6,024.22
  4. Step 4: Simplify right side
    16,561.64x = 149,565,928.65
  5. Step 5: Solve for x
    x = 149,565,928.65/16,561.64
  6. Step 6: Final answer
    x = 9,030.86

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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.