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Finding the Fourth Proportional to 10,969.70, 16,406.55 and 9,808.10

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Solution

The fourth proportional to 10,969.70, 16,406.55 and 9,808.10 is: 14,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.70 : 16,406.55 = 9,808.10 : x
  2. Step 2: Convert to fraction form
    10,969.70/16,406.55 = 9,808.10/x
  3. Step 3: Cross multiply
    10,969.70x = 16,406.55 × 9,808.10
  4. Step 4: Simplify right side
    10,969.70x = 160,917,083.06
  5. Step 5: Solve for x
    x = 160,917,083.06/10,969.70
  6. Step 6: Final answer
    x = 14,669.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.