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Finding the Fourth Proportional to 10,174.60, 14,041.02 and 5,698.40

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Solution

The fourth proportional to 10,174.60, 14,041.02 and 5,698.40 is: 7,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.60 : 14,041.02 = 5,698.40 : x
  2. Step 2: Convert to fraction form
    10,174.60/14,041.02 = 5,698.40/x
  3. Step 3: Cross multiply
    10,174.60x = 14,041.02 × 5,698.40
  4. Step 4: Simplify right side
    10,174.60x = 80,011,348.37
  5. Step 5: Solve for x
    x = 80,011,348.37/10,174.60
  6. Step 6: Final answer
    x = 7,863.83

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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.