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Finding the Fourth Proportional to 35,692.80, 53,538.12 and 9,397.68

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Solution

The fourth proportional to 35,692.80, 53,538.12 and 9,397.68 is: 14,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.80 : 53,538.12 = 9,397.68 : x
  2. Step 2: Convert to fraction form
    35,692.80/53,538.12 = 9,397.68/x
  3. Step 3: Cross multiply
    35,692.80x = 53,538.12 × 9,397.68
  4. Step 4: Simplify right side
    35,692.80x = 503,134,119.56
  5. Step 5: Solve for x
    x = 503,134,119.56/35,692.80
  6. Step 6: Final answer
    x = 14,096.24

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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.