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Finding the Fourth Proportional to 6,437.64, 9,662.94 and 4,701

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Solution

The fourth proportional to 6,437.64, 9,662.94 and 4,701 is: 7,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.64 : 9,662.94 = 4,701 : x
  2. Step 2: Convert to fraction form
    6,437.64/9,662.94 = 4,701/x
  3. Step 3: Cross multiply
    6,437.64x = 9,662.94 × 4,701
  4. Step 4: Simplify right side
    6,437.64x = 45,425,480.94
  5. Step 5: Solve for x
    x = 45,425,480.94/6,437.64
  6. Step 6: Final answer
    x = 7,056.23

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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.