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Finding the Fourth Proportional to 15,643.64, 23,465.25 and 3,797.50

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Solution

The fourth proportional to 15,643.64, 23,465.25 and 3,797.50 is: 5,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.64 : 23,465.25 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    15,643.64/23,465.25 = 3,797.50/x
  3. Step 3: Cross multiply
    15,643.64x = 23,465.25 × 3,797.50
  4. Step 4: Simplify right side
    15,643.64x = 89,109,286.88
  5. Step 5: Solve for x
    x = 89,109,286.88/15,643.64
  6. Step 6: Final answer
    x = 5,696.20

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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.