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Finding the Fourth Proportional to 6,547.10, 9,821.87 and 2,167.64

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Solution

The fourth proportional to 6,547.10, 9,821.87 and 2,167.64 is: 3,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.10 : 9,821.87 = 2,167.64 : x
  2. Step 2: Convert to fraction form
    6,547.10/9,821.87 = 2,167.64/x
  3. Step 3: Cross multiply
    6,547.10x = 9,821.87 × 2,167.64
  4. Step 4: Simplify right side
    6,547.10x = 21,290,218.34
  5. Step 5: Solve for x
    x = 21,290,218.34/6,547.10
  6. Step 6: Final answer
    x = 3,251.86

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1.5x scale

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.