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Finding the Fourth Proportional to 10,035.76, 15,024.10 and 9,608.08

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Solution

The fourth proportional to 10,035.76, 15,024.10 and 9,608.08 is: 14,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.76 : 15,024.10 = 9,608.08 : x
  2. Step 2: Convert to fraction form
    10,035.76/15,024.10 = 9,608.08/x
  3. Step 3: Cross multiply
    10,035.76x = 15,024.10 × 9,608.08
  4. Step 4: Simplify right side
    10,035.76x = 144,352,754.73
  5. Step 5: Solve for x
    x = 144,352,754.73/10,035.76
  6. Step 6: Final answer
    x = 14,383.84

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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.