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Finding the Fourth Proportional to 10,074.84, 15,112.14 and 7,302.84

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Solution

The fourth proportional to 10,074.84, 15,112.14 and 7,302.84 is: 10,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.84 : 15,112.14 = 7,302.84 : x
  2. Step 2: Convert to fraction form
    10,074.84/15,112.14 = 7,302.84/x
  3. Step 3: Cross multiply
    10,074.84x = 15,112.14 × 7,302.84
  4. Step 4: Simplify right side
    10,074.84x = 110,361,540.48
  5. Step 5: Solve for x
    x = 110,361,540.48/10,074.84
  6. Step 6: Final answer
    x = 10,954.17

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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.