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Finding the Fourth Proportional to 5,155.65, 7,733.61 and 1,867.86

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Solution

The fourth proportional to 5,155.65, 7,733.61 and 1,867.86 is: 2,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.65 : 7,733.61 = 1,867.86 : x
  2. Step 2: Convert to fraction form
    5,155.65/7,733.61 = 1,867.86/x
  3. Step 3: Cross multiply
    5,155.65x = 7,733.61 × 1,867.86
  4. Step 4: Simplify right side
    5,155.65x = 14,445,300.77
  5. Step 5: Solve for x
    x = 14,445,300.77/5,155.65
  6. Step 6: Final answer
    x = 2,801.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.