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Finding the Fourth Proportional to 7,788.16, 11,694.10 and 7,535.75

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Solution

The fourth proportional to 7,788.16, 11,694.10 and 7,535.75 is: 11,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.16 : 11,694.10 = 7,535.75 : x
  2. Step 2: Convert to fraction form
    7,788.16/11,694.10 = 7,535.75/x
  3. Step 3: Cross multiply
    7,788.16x = 11,694.10 × 7,535.75
  4. Step 4: Simplify right side
    7,788.16x = 88,123,814.08
  5. Step 5: Solve for x
    x = 88,123,814.08/7,788.16
  6. Step 6: Final answer
    x = 11,315.10

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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.