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Finding the Fourth Proportional to 7,175.00, 10,724.01 and 6,470.60

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Solution

The fourth proportional to 7,175.00, 10,724.01 and 6,470.60 is: 9,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.00 : 10,724.01 = 6,470.60 : x
  2. Step 2: Convert to fraction form
    7,175.00/10,724.01 = 6,470.60/x
  3. Step 3: Cross multiply
    7,175.00x = 10,724.01 × 6,470.60
  4. Step 4: Simplify right side
    7,175.00x = 69,390,725.49
  5. Step 5: Solve for x
    x = 69,390,725.49/7,175.00
  6. Step 6: Final answer
    x = 9,671.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.