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Finding the Fourth Proportional to 6,182.58, 9,277.90 and 5,772.50

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Solution

The fourth proportional to 6,182.58, 9,277.90 and 5,772.50 is: 8,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.58 : 9,277.90 = 5,772.50 : x
  2. Step 2: Convert to fraction form
    6,182.58/9,277.90 = 5,772.50/x
  3. Step 3: Cross multiply
    6,182.58x = 9,277.90 × 5,772.50
  4. Step 4: Simplify right side
    6,182.58x = 53,556,677.75
  5. Step 5: Solve for x
    x = 53,556,677.75/6,182.58
  6. Step 6: Final answer
    x = 8,662.51

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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.