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Finding the Fourth Proportional to 6,547.05, 9,823.01 and 2,654.19

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Solution

The fourth proportional to 6,547.05, 9,823.01 and 2,654.19 is: 3,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.05 : 9,823.01 = 2,654.19 : x
  2. Step 2: Convert to fraction form
    6,547.05/9,823.01 = 2,654.19/x
  3. Step 3: Cross multiply
    6,547.05x = 9,823.01 × 2,654.19
  4. Step 4: Simplify right side
    6,547.05x = 26,072,121.64
  5. Step 5: Solve for x
    x = 26,072,121.64/6,547.05
  6. Step 6: Final answer
    x = 3,982.27

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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.