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Finding the Fourth Proportional to 6,547.70, 9,034.25 and 3,859.03

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Solution

The fourth proportional to 6,547.70, 9,034.25 and 3,859.03 is: 5,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.70 : 9,034.25 = 3,859.03 : x
  2. Step 2: Convert to fraction form
    6,547.70/9,034.25 = 3,859.03/x
  3. Step 3: Cross multiply
    6,547.70x = 9,034.25 × 3,859.03
  4. Step 4: Simplify right side
    6,547.70x = 34,863,422.48
  5. Step 5: Solve for x
    x = 34,863,422.48/6,547.70
  6. Step 6: Final answer
    x = 5,324.53

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1.5x scale

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.