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Finding the Fourth Proportional to 10,612.84, 15,914.76 and 5,059.76

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Solution

The fourth proportional to 10,612.84, 15,914.76 and 5,059.76 is: 7,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.84 : 15,914.76 = 5,059.76 : x
  2. Step 2: Convert to fraction form
    10,612.84/15,914.76 = 5,059.76/x
  3. Step 3: Cross multiply
    10,612.84x = 15,914.76 × 5,059.76
  4. Step 4: Simplify right side
    10,612.84x = 80,524,866.06
  5. Step 5: Solve for x
    x = 80,524,866.06/10,612.84
  6. Step 6: Final answer
    x = 7,587.49

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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.