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Finding the Fourth Proportional to 6,989.60, 10,475.08 and 2,602.64

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Solution

The fourth proportional to 6,989.60, 10,475.08 and 2,602.64 is: 3,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.60 : 10,475.08 = 2,602.64 : x
  2. Step 2: Convert to fraction form
    6,989.60/10,475.08 = 2,602.64/x
  3. Step 3: Cross multiply
    6,989.60x = 10,475.08 × 2,602.64
  4. Step 4: Simplify right side
    6,989.60x = 27,262,862.21
  5. Step 5: Solve for x
    x = 27,262,862.21/6,989.60
  6. Step 6: Final answer
    x = 3,900.49

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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.