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Finding the Fourth Proportional to 7,874.48, 10,866.86 and 4,337.75

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Solution

The fourth proportional to 7,874.48, 10,866.86 and 4,337.75 is: 5,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.48 : 10,866.86 = 4,337.75 : x
  2. Step 2: Convert to fraction form
    7,874.48/10,866.86 = 4,337.75/x
  3. Step 3: Cross multiply
    7,874.48x = 10,866.86 × 4,337.75
  4. Step 4: Simplify right side
    7,874.48x = 47,137,743.71
  5. Step 5: Solve for x
    x = 47,137,743.71/7,874.48
  6. Step 6: Final answer
    x = 5,986.14

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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.