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Finding the Fourth Proportional to 10,324.68, 15,486.81 and 6,994.50

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Solution

The fourth proportional to 10,324.68, 15,486.81 and 6,994.50 is: 10,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.68 : 15,486.81 = 6,994.50 : x
  2. Step 2: Convert to fraction form
    10,324.68/15,486.81 = 6,994.50/x
  3. Step 3: Cross multiply
    10,324.68x = 15,486.81 × 6,994.50
  4. Step 4: Simplify right side
    10,324.68x = 108,322,492.55
  5. Step 5: Solve for x
    x = 108,322,492.55/10,324.68
  6. Step 6: Final answer
    x = 10,491.61

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Half scale
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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.