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Finding the Fourth Proportional to 7,644.60, 11,465.46 and 3,746.52

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Solution

The fourth proportional to 7,644.60, 11,465.46 and 3,746.52 is: 5,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.60 : 11,465.46 = 3,746.52 : x
  2. Step 2: Convert to fraction form
    7,644.60/11,465.46 = 3,746.52/x
  3. Step 3: Cross multiply
    7,644.60x = 11,465.46 × 3,746.52
  4. Step 4: Simplify right side
    7,644.60x = 42,955,575.20
  5. Step 5: Solve for x
    x = 42,955,575.20/7,644.60
  6. Step 6: Final answer
    x = 5,619.07

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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.