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Finding the Fourth Proportional to 16,964, 23,407.86 and 9,410.36

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Solution

The fourth proportional to 16,964, 23,407.86 and 9,410.36 is: 12,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964 : 23,407.86 = 9,410.36 : x
  2. Step 2: Convert to fraction form
    16,964/23,407.86 = 9,410.36/x
  3. Step 3: Cross multiply
    16,964x = 23,407.86 × 9,410.36
  4. Step 4: Simplify right side
    16,964x = 220,276,389.43
  5. Step 5: Solve for x
    x = 220,276,389.43/16,964
  6. Step 6: Final answer
    x = 12,984.93

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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.