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Finding the Fourth Proportional to 9,933.80, 14,900.70 and 9,780.20

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Solution

The fourth proportional to 9,933.80, 14,900.70 and 9,780.20 is: 14,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.80 : 14,900.70 = 9,780.20 : x
  2. Step 2: Convert to fraction form
    9,933.80/14,900.70 = 9,780.20/x
  3. Step 3: Cross multiply
    9,933.80x = 14,900.70 × 9,780.20
  4. Step 4: Simplify right side
    9,933.80x = 145,731,826.14
  5. Step 5: Solve for x
    x = 145,731,826.14/9,933.80
  6. Step 6: Final answer
    x = 14,670.30

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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.