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Finding the Fourth Proportional to 7,642.52, 11,465.46 and 2,448.92

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Solution

The fourth proportional to 7,642.52, 11,465.46 and 2,448.92 is: 3,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.52 : 11,465.46 = 2,448.92 : x
  2. Step 2: Convert to fraction form
    7,642.52/11,465.46 = 2,448.92/x
  3. Step 3: Cross multiply
    7,642.52x = 11,465.46 × 2,448.92
  4. Step 4: Simplify right side
    7,642.52x = 28,077,994.30
  5. Step 5: Solve for x
    x = 28,077,994.30/7,642.52
  6. Step 6: Final answer
    x = 3,673.92

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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.