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Finding the Fourth Proportional to 7,151.46, 9,863.57 and 6,265.72

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Solution

The fourth proportional to 7,151.46, 9,863.57 and 6,265.72 is: 8,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.46 : 9,863.57 = 6,265.72 : x
  2. Step 2: Convert to fraction form
    7,151.46/9,863.57 = 6,265.72/x
  3. Step 3: Cross multiply
    7,151.46x = 9,863.57 × 6,265.72
  4. Step 4: Simplify right side
    7,151.46x = 61,802,395.81
  5. Step 5: Solve for x
    x = 61,802,395.81/7,151.46
  6. Step 6: Final answer
    x = 8,641.93

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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.