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Finding the Fourth Proportional to 10,501.84, 15,755.84 and 3,106.50

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Solution

The fourth proportional to 10,501.84, 15,755.84 and 3,106.50 is: 4,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.84 : 15,755.84 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    10,501.84/15,755.84 = 3,106.50/x
  3. Step 3: Cross multiply
    10,501.84x = 15,755.84 × 3,106.50
  4. Step 4: Simplify right side
    10,501.84x = 48,945,516.96
  5. Step 5: Solve for x
    x = 48,945,516.96/10,501.84
  6. Step 6: Final answer
    x = 4,660.66

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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.