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Finding the Fourth Proportional to 6,265.37, 8,642.06 and 4,030.07

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Solution

The fourth proportional to 6,265.37, 8,642.06 and 4,030.07 is: 5,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.37 : 8,642.06 = 4,030.07 : x
  2. Step 2: Convert to fraction form
    6,265.37/8,642.06 = 4,030.07/x
  3. Step 3: Cross multiply
    6,265.37x = 8,642.06 × 4,030.07
  4. Step 4: Simplify right side
    6,265.37x = 34,828,043.38
  5. Step 5: Solve for x
    x = 34,828,043.38/6,265.37
  6. Step 6: Final answer
    x = 5,558.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.