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Finding the Fourth Proportional to 10,499.63, 15,749.44 and 4,343.63

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Solution

The fourth proportional to 10,499.63, 15,749.44 and 4,343.63 is: 6,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.63 : 15,749.44 = 4,343.63 : x
  2. Step 2: Convert to fraction form
    10,499.63/15,749.44 = 4,343.63/x
  3. Step 3: Cross multiply
    10,499.63x = 15,749.44 × 4,343.63
  4. Step 4: Simplify right side
    10,499.63x = 68,409,650.46
  5. Step 5: Solve for x
    x = 68,409,650.46/10,499.63
  6. Step 6: Final answer
    x = 6,515.44

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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.