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Finding the Fourth Proportional to 31,600.03, 47,400.04 and 9,412.83

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Solution

The fourth proportional to 31,600.03, 47,400.04 and 9,412.83 is: 14,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.03 : 47,400.04 = 9,412.83 : x
  2. Step 2: Convert to fraction form
    31,600.03/47,400.04 = 9,412.83/x
  3. Step 3: Cross multiply
    31,600.03x = 47,400.04 × 9,412.83
  4. Step 4: Simplify right side
    31,600.03x = 446,168,530.28
  5. Step 5: Solve for x
    x = 446,168,530.28/31,600.03
  6. Step 6: Final answer
    x = 14,119.24

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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.