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Finding the Fourth Proportional to 7,633.60, 11,452.04 and 2,368.50

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Solution

The fourth proportional to 7,633.60, 11,452.04 and 2,368.50 is: 3,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.60 : 11,452.04 = 2,368.50 : x
  2. Step 2: Convert to fraction form
    7,633.60/11,452.04 = 2,368.50/x
  3. Step 3: Cross multiply
    7,633.60x = 11,452.04 × 2,368.50
  4. Step 4: Simplify right side
    7,633.60x = 27,124,156.74
  5. Step 5: Solve for x
    x = 27,124,156.74/7,633.60
  6. Step 6: Final answer
    x = 3,553.26

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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.