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Finding the Fourth Proportional to 6,547.48, 9,035.13 and 3,676.00

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Solution

The fourth proportional to 6,547.48, 9,035.13 and 3,676.00 is: 5,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.48 : 9,035.13 = 3,676.00 : x
  2. Step 2: Convert to fraction form
    6,547.48/9,035.13 = 3,676.00/x
  3. Step 3: Cross multiply
    6,547.48x = 9,035.13 × 3,676.00
  4. Step 4: Simplify right side
    6,547.48x = 33,213,089.59
  5. Step 5: Solve for x
    x = 33,213,089.59/6,547.48
  6. Step 6: Final answer
    x = 5,072.65

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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.