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Finding the Fourth Proportional to 10,757.58, 16,078.70 and 9,700.99

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Solution

The fourth proportional to 10,757.58, 16,078.70 and 9,700.99 is: 14,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.58 : 16,078.70 = 9,700.99 : x
  2. Step 2: Convert to fraction form
    10,757.58/16,078.70 = 9,700.99/x
  3. Step 3: Cross multiply
    10,757.58x = 16,078.70 × 9,700.99
  4. Step 4: Simplify right side
    10,757.58x = 155,979,179.01
  5. Step 5: Solve for x
    x = 155,979,179.01/10,757.58
  6. Step 6: Final answer
    x = 14,499.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.