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Finding the Fourth Proportional to 6,364.24, 9,517.96 and 4,784.16

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Solution

The fourth proportional to 6,364.24, 9,517.96 and 4,784.16 is: 7,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.24 : 9,517.96 = 4,784.16 : x
  2. Step 2: Convert to fraction form
    6,364.24/9,517.96 = 4,784.16/x
  3. Step 3: Cross multiply
    6,364.24x = 9,517.96 × 4,784.16
  4. Step 4: Simplify right side
    6,364.24x = 45,535,443.51
  5. Step 5: Solve for x
    x = 45,535,443.51/6,364.24
  6. Step 6: Final answer
    x = 7,154.89

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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.