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Finding the Fourth Proportional to 7,046.64, 10,570.65 and 2,605.47

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Solution

The fourth proportional to 7,046.64, 10,570.65 and 2,605.47 is: 3,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.64 : 10,570.65 = 2,605.47 : x
  2. Step 2: Convert to fraction form
    7,046.64/10,570.65 = 2,605.47/x
  3. Step 3: Cross multiply
    7,046.64x = 10,570.65 × 2,605.47
  4. Step 4: Simplify right side
    7,046.64x = 27,541,458.60
  5. Step 5: Solve for x
    x = 27,541,458.60/7,046.64
  6. Step 6: Final answer
    x = 3,908.46

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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.