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Finding the Fourth Proportional to 8,653.71, 11,941.47 and 5,295.15

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Solution

The fourth proportional to 8,653.71, 11,941.47 and 5,295.15 is: 7,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.71 : 11,941.47 = 5,295.15 : x
  2. Step 2: Convert to fraction form
    8,653.71/11,941.47 = 5,295.15/x
  3. Step 3: Cross multiply
    8,653.71x = 11,941.47 × 5,295.15
  4. Step 4: Simplify right side
    8,653.71x = 63,231,874.87
  5. Step 5: Solve for x
    x = 63,231,874.87/8,653.71
  6. Step 6: Final answer
    x = 7,306.91

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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.