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Finding the Fourth Proportional to 6,095.64, 9,158.86 and 5,849.60

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Solution

The fourth proportional to 6,095.64, 9,158.86 and 5,849.60 is: 8,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.64 : 9,158.86 = 5,849.60 : x
  2. Step 2: Convert to fraction form
    6,095.64/9,158.86 = 5,849.60/x
  3. Step 3: Cross multiply
    6,095.64x = 9,158.86 × 5,849.60
  4. Step 4: Simplify right side
    6,095.64x = 53,575,667.46
  5. Step 5: Solve for x
    x = 53,575,667.46/6,095.64
  6. Step 6: Final answer
    x = 8,789.18

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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.