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Finding the Fourth Proportional to 10,494.42, 15,744.36 and 4,649.64

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Solution

The fourth proportional to 10,494.42, 15,744.36 and 4,649.64 is: 6,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.42 : 15,744.36 = 4,649.64 : x
  2. Step 2: Convert to fraction form
    10,494.42/15,744.36 = 4,649.64/x
  3. Step 3: Cross multiply
    10,494.42x = 15,744.36 × 4,649.64
  4. Step 4: Simplify right side
    10,494.42x = 73,205,606.03
  5. Step 5: Solve for x
    x = 73,205,606.03/10,494.42
  6. Step 6: Final answer
    x = 6,975.67

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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.