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Finding the Fourth Proportional to 6,547.34, 9,821.10 and 1,930.34

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Solution

The fourth proportional to 6,547.34, 9,821.10 and 1,930.34 is: 2,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.34 : 9,821.10 = 1,930.34 : x
  2. Step 2: Convert to fraction form
    6,547.34/9,821.10 = 1,930.34/x
  3. Step 3: Cross multiply
    6,547.34x = 9,821.10 × 1,930.34
  4. Step 4: Simplify right side
    6,547.34x = 18,958,062.17
  5. Step 5: Solve for x
    x = 18,958,062.17/6,547.34
  6. Step 6: Final answer
    x = 2,895.54

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Similar ratio
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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.