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Finding the Fourth Proportional to 6,437.48, 9,653.73 and 2,741.45

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Solution

The fourth proportional to 6,437.48, 9,653.73 and 2,741.45 is: 4,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.48 : 9,653.73 = 2,741.45 : x
  2. Step 2: Convert to fraction form
    6,437.48/9,653.73 = 2,741.45/x
  3. Step 3: Cross multiply
    6,437.48x = 9,653.73 × 2,741.45
  4. Step 4: Simplify right side
    6,437.48x = 26,465,218.11
  5. Step 5: Solve for x
    x = 26,465,218.11/6,437.48
  6. Step 6: Final answer
    x = 4,111.11

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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.