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Finding the Fourth Proportional to 23,807.70, 35,711.90 and 9,012.65

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Solution

The fourth proportional to 23,807.70, 35,711.90 and 9,012.65 is: 13,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.70 : 35,711.90 = 9,012.65 : x
  2. Step 2: Convert to fraction form
    23,807.70/35,711.90 = 9,012.65/x
  3. Step 3: Cross multiply
    23,807.70x = 35,711.90 × 9,012.65
  4. Step 4: Simplify right side
    23,807.70x = 321,858,699.51
  5. Step 5: Solve for x
    x = 321,858,699.51/23,807.70
  6. Step 6: Final answer
    x = 13,519.10

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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.