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Finding the Fourth Proportional to 10,230.84, 15,346.08 and 4,074.84

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Solution

The fourth proportional to 10,230.84, 15,346.08 and 4,074.84 is: 6,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.84 : 15,346.08 = 4,074.84 : x
  2. Step 2: Convert to fraction form
    10,230.84/15,346.08 = 4,074.84/x
  3. Step 3: Cross multiply
    10,230.84x = 15,346.08 × 4,074.84
  4. Step 4: Simplify right side
    10,230.84x = 62,532,820.63
  5. Step 5: Solve for x
    x = 62,532,820.63/10,230.84
  6. Step 6: Final answer
    x = 6,112.19

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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.