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Finding the Fourth Proportional to 10,406.70, 15,610.05 and 3,011.40

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Solution

The fourth proportional to 10,406.70, 15,610.05 and 3,011.40 is: 4,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.70 : 15,610.05 = 3,011.40 : x
  2. Step 2: Convert to fraction form
    10,406.70/15,610.05 = 3,011.40/x
  3. Step 3: Cross multiply
    10,406.70x = 15,610.05 × 3,011.40
  4. Step 4: Simplify right side
    10,406.70x = 47,008,104.57
  5. Step 5: Solve for x
    x = 47,008,104.57/10,406.70
  6. Step 6: Final answer
    x = 4,517.10

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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.