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Finding the Fourth Proportional to 23,583.74, 35,368.12 and 7,785.84

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Solution

The fourth proportional to 23,583.74, 35,368.12 and 7,785.84 is: 11,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,583.74 : 35,368.12 = 7,785.84 : x
  2. Step 2: Convert to fraction form
    23,583.74/35,368.12 = 7,785.84/x
  3. Step 3: Cross multiply
    23,583.74x = 35,368.12 × 7,785.84
  4. Step 4: Simplify right side
    23,583.74x = 275,370,523.42
  5. Step 5: Solve for x
    x = 275,370,523.42/23,583.74
  6. Step 6: Final answer
    x = 11,676.29

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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.