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Finding the Fourth Proportional to 7,811.59, 10,780.18 and 4,454.72

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Solution

The fourth proportional to 7,811.59, 10,780.18 and 4,454.72 is: 6,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.59 : 10,780.18 = 4,454.72 : x
  2. Step 2: Convert to fraction form
    7,811.59/10,780.18 = 4,454.72/x
  3. Step 3: Cross multiply
    7,811.59x = 10,780.18 × 4,454.72
  4. Step 4: Simplify right side
    7,811.59x = 48,022,699.26
  5. Step 5: Solve for x
    x = 48,022,699.26/7,811.59
  6. Step 6: Final answer
    x = 6,147.62

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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.