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Finding the Fourth Proportional to 4,414.60, 6,645.74 and 4,033.24

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Solution

The fourth proportional to 4,414.60, 6,645.74 and 4,033.24 is: 6,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.60 : 6,645.74 = 4,033.24 : x
  2. Step 2: Convert to fraction form
    4,414.60/6,645.74 = 4,033.24/x
  3. Step 3: Cross multiply
    4,414.60x = 6,645.74 × 4,033.24
  4. Step 4: Simplify right side
    4,414.60x = 26,803,831.17
  5. Step 5: Solve for x
    x = 26,803,831.17/4,414.60
  6. Step 6: Final answer
    x = 6,071.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.