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Finding the Fourth Proportional to 16,353, 22,570.08 and 9,638.23

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Solution

The fourth proportional to 16,353, 22,570.08 and 9,638.23 is: 13,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353 : 22,570.08 = 9,638.23 : x
  2. Step 2: Convert to fraction form
    16,353/22,570.08 = 9,638.23/x
  3. Step 3: Cross multiply
    16,353x = 22,570.08 × 9,638.23
  4. Step 4: Simplify right side
    16,353x = 217,535,622.16
  5. Step 5: Solve for x
    x = 217,535,622.16/16,353
  6. Step 6: Final answer
    x = 13,302.49

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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.