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Finding the Fourth Proportional to 6,074.66, 9,097.86 and 5,864.19

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Solution

The fourth proportional to 6,074.66, 9,097.86 and 5,864.19 is: 8,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.66 : 9,097.86 = 5,864.19 : x
  2. Step 2: Convert to fraction form
    6,074.66/9,097.86 = 5,864.19/x
  3. Step 3: Cross multiply
    6,074.66x = 9,097.86 × 5,864.19
  4. Step 4: Simplify right side
    6,074.66x = 53,351,579.63
  5. Step 5: Solve for x
    x = 53,351,579.63/6,074.66
  6. Step 6: Final answer
    x = 8,782.65

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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.