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Finding the Fourth Proportional to 11,135.40, 16,703.10 and 10,406.40

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Solution

The fourth proportional to 11,135.40, 16,703.10 and 10,406.40 is: 15,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.40 : 16,703.10 = 10,406.40 : x
  2. Step 2: Convert to fraction form
    11,135.40/16,703.10 = 10,406.40/x
  3. Step 3: Cross multiply
    11,135.40x = 16,703.10 × 10,406.40
  4. Step 4: Simplify right side
    11,135.40x = 173,819,139.84
  5. Step 5: Solve for x
    x = 173,819,139.84/11,135.40
  6. Step 6: Final answer
    x = 15,609.60

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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.