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Finding the Fourth Proportional to 4,317, 6,475.64 and 1,197.04

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Solution

The fourth proportional to 4,317, 6,475.64 and 1,197.04 is: 1,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317 : 6,475.64 = 1,197.04 : x
  2. Step 2: Convert to fraction form
    4,317/6,475.64 = 1,197.04/x
  3. Step 3: Cross multiply
    4,317x = 6,475.64 × 1,197.04
  4. Step 4: Simplify right side
    4,317x = 7,751,600.11
  5. Step 5: Solve for x
    x = 7,751,600.11/4,317
  6. Step 6: Final answer
    x = 1,795.60

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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.