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Finding the Fourth Proportional to 10,145.84, 15,224.52 and 4,301.84

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Solution

The fourth proportional to 10,145.84, 15,224.52 and 4,301.84 is: 6,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.84 : 15,224.52 = 4,301.84 : x
  2. Step 2: Convert to fraction form
    10,145.84/15,224.52 = 4,301.84/x
  3. Step 3: Cross multiply
    10,145.84x = 15,224.52 × 4,301.84
  4. Step 4: Simplify right side
    10,145.84x = 65,493,449.12
  5. Step 5: Solve for x
    x = 65,493,449.12/10,145.84
  6. Step 6: Final answer
    x = 6,455.20

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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.