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Finding the Fourth Proportional to 6,264.81, 9,344.09 and 5,284.10

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Solution

The fourth proportional to 6,264.81, 9,344.09 and 5,284.10 is: 7,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.81 : 9,344.09 = 5,284.10 : x
  2. Step 2: Convert to fraction form
    6,264.81/9,344.09 = 5,284.10/x
  3. Step 3: Cross multiply
    6,264.81x = 9,344.09 × 5,284.10
  4. Step 4: Simplify right side
    6,264.81x = 49,375,142.54
  5. Step 5: Solve for x
    x = 49,375,142.54/6,264.81
  6. Step 6: Final answer
    x = 7,881.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.