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Finding the Fourth Proportional to 31,798.94, 47,692.26 and 9,607.14

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Solution

The fourth proportional to 31,798.94, 47,692.26 and 9,607.14 is: 14,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.94 : 47,692.26 = 9,607.14 : x
  2. Step 2: Convert to fraction form
    31,798.94/47,692.26 = 9,607.14/x
  3. Step 3: Cross multiply
    31,798.94x = 47,692.26 × 9,607.14
  4. Step 4: Simplify right side
    31,798.94x = 458,186,218.74
  5. Step 5: Solve for x
    x = 458,186,218.74/31,798.94
  6. Step 6: Final answer
    x = 14,408.85

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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.