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Finding the Fourth Proportional to 6,530.41, 9,004.53 and 4,955.77

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Solution

The fourth proportional to 6,530.41, 9,004.53 and 4,955.77 is: 6,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.41 : 9,004.53 = 4,955.77 : x
  2. Step 2: Convert to fraction form
    6,530.41/9,004.53 = 4,955.77/x
  3. Step 3: Cross multiply
    6,530.41x = 9,004.53 × 4,955.77
  4. Step 4: Simplify right side
    6,530.41x = 44,624,379.64
  5. Step 5: Solve for x
    x = 44,624,379.64/6,530.41
  6. Step 6: Final answer
    x = 6,833.32

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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.