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Finding the Fourth Proportional to 6,164.42, 9,257.70 and 5,669.93

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Solution

The fourth proportional to 6,164.42, 9,257.70 and 5,669.93 is: 8,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.42 : 9,257.70 = 5,669.93 : x
  2. Step 2: Convert to fraction form
    6,164.42/9,257.70 = 5,669.93/x
  3. Step 3: Cross multiply
    6,164.42x = 9,257.70 × 5,669.93
  4. Step 4: Simplify right side
    6,164.42x = 52,490,464.67
  5. Step 5: Solve for x
    x = 52,490,464.67/6,164.42
  6. Step 6: Final answer
    x = 8,515.08

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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.