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Finding the Fourth Proportional to 16,957.12, 23,399.86 and 9,403

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Solution

The fourth proportional to 16,957.12, 23,399.86 and 9,403 is: 12,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957.12 : 23,399.86 = 9,403 : x
  2. Step 2: Convert to fraction form
    16,957.12/23,399.86 = 9,403/x
  3. Step 3: Cross multiply
    16,957.12x = 23,399.86 × 9,403
  4. Step 4: Simplify right side
    16,957.12x = 220,028,883.58
  5. Step 5: Solve for x
    x = 220,028,883.58/16,957.12
  6. Step 6: Final answer
    x = 12,975.60

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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.