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Finding the Fourth Proportional to 16,548.54, 22,834.95 and 9,834.30

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Solution

The fourth proportional to 16,548.54, 22,834.95 and 9,834.30 is: 13,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.54 : 22,834.95 = 9,834.30 : x
  2. Step 2: Convert to fraction form
    16,548.54/22,834.95 = 9,834.30/x
  3. Step 3: Cross multiply
    16,548.54x = 22,834.95 × 9,834.30
  4. Step 4: Simplify right side
    16,548.54x = 224,565,748.79
  5. Step 5: Solve for x
    x = 224,565,748.79/16,548.54
  6. Step 6: Final answer
    x = 13,570.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.