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Finding the Fourth Proportional to 10,029, 15,034.44 and 4,760.76

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Solution

The fourth proportional to 10,029, 15,034.44 and 4,760.76 is: 7,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029 : 15,034.44 = 4,760.76 : x
  2. Step 2: Convert to fraction form
    10,029/15,034.44 = 4,760.76/x
  3. Step 3: Cross multiply
    10,029x = 15,034.44 × 4,760.76
  4. Step 4: Simplify right side
    10,029x = 71,575,360.57
  5. Step 5: Solve for x
    x = 71,575,360.57/10,029
  6. Step 6: Final answer
    x = 7,136.84

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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.