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Finding the Fourth Proportional to 6,365.40, 9,547.89 and 2,617.05

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Solution

The fourth proportional to 6,365.40, 9,547.89 and 2,617.05 is: 3,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.40 : 9,547.89 = 2,617.05 : x
  2. Step 2: Convert to fraction form
    6,365.40/9,547.89 = 2,617.05/x
  3. Step 3: Cross multiply
    6,365.40x = 9,547.89 × 2,617.05
  4. Step 4: Simplify right side
    6,365.40x = 24,987,305.52
  5. Step 5: Solve for x
    x = 24,987,305.52/6,365.40
  6. Step 6: Final answer
    x = 3,925.49

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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.