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Finding the Fourth Proportional to 6,547.07, 9,821.07 and 2,104.77

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Solution

The fourth proportional to 6,547.07, 9,821.07 and 2,104.77 is: 3,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.07 : 9,821.07 = 2,104.77 : x
  2. Step 2: Convert to fraction form
    6,547.07/9,821.07 = 2,104.77/x
  3. Step 3: Cross multiply
    6,547.07x = 9,821.07 × 2,104.77
  4. Step 4: Simplify right side
    6,547.07x = 20,671,093.50
  5. Step 5: Solve for x
    x = 20,671,093.50/6,547.07
  6. Step 6: Final answer
    x = 3,157.31

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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.