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Finding the Fourth Proportional to 6,345.50, 9,504.68 and 5,154.16

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Solution

The fourth proportional to 6,345.50, 9,504.68 and 5,154.16 is: 7,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.50 : 9,504.68 = 5,154.16 : x
  2. Step 2: Convert to fraction form
    6,345.50/9,504.68 = 5,154.16/x
  3. Step 3: Cross multiply
    6,345.50x = 9,504.68 × 5,154.16
  4. Step 4: Simplify right side
    6,345.50x = 48,988,641.47
  5. Step 5: Solve for x
    x = 48,988,641.47/6,345.50
  6. Step 6: Final answer
    x = 7,720.22

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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.