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Finding the Fourth Proportional to 16,384.48, 24,578.40 and 6,522.40

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Solution

The fourth proportional to 16,384.48, 24,578.40 and 6,522.40 is: 9,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.48 : 24,578.40 = 6,522.40 : x
  2. Step 2: Convert to fraction form
    16,384.48/24,578.40 = 6,522.40/x
  3. Step 3: Cross multiply
    16,384.48x = 24,578.40 × 6,522.40
  4. Step 4: Simplify right side
    16,384.48x = 160,310,156.16
  5. Step 5: Solve for x
    x = 160,310,156.16/16,384.48
  6. Step 6: Final answer
    x = 9,784.27

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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.