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Finding the Fourth Proportional to 10,499.76, 15,749.64 and 2,602.26

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Solution

The fourth proportional to 10,499.76, 15,749.64 and 2,602.26 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.76 : 15,749.64 = 2,602.26 : x
  2. Step 2: Convert to fraction form
    10,499.76/15,749.64 = 2,602.26/x
  3. Step 3: Cross multiply
    10,499.76x = 15,749.64 × 2,602.26
  4. Step 4: Simplify right side
    10,499.76x = 40,984,658.19
  5. Step 5: Solve for x
    x = 40,984,658.19/10,499.76
  6. Step 6: Final answer
    x = 3,903.39

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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.