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Finding the Fourth Proportional to 16,962.90, 23,407.07 and 9,407.27

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Solution

The fourth proportional to 16,962.90, 23,407.07 and 9,407.27 is: 12,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.90 : 23,407.07 = 9,407.27 : x
  2. Step 2: Convert to fraction form
    16,962.90/23,407.07 = 9,407.27/x
  3. Step 3: Cross multiply
    16,962.90x = 23,407.07 × 9,407.27
  4. Step 4: Simplify right side
    16,962.90x = 220,196,463.33
  5. Step 5: Solve for x
    x = 220,196,463.33/16,962.90
  6. Step 6: Final answer
    x = 12,981.06

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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.