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Finding the Fourth Proportional to 6,164.84, 9,237.54 and 5,575.16

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Solution

The fourth proportional to 6,164.84, 9,237.54 and 5,575.16 is: 8,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.84 : 9,237.54 = 5,575.16 : x
  2. Step 2: Convert to fraction form
    6,164.84/9,237.54 = 5,575.16/x
  3. Step 3: Cross multiply
    6,164.84x = 9,237.54 × 5,575.16
  4. Step 4: Simplify right side
    6,164.84x = 51,500,763.51
  5. Step 5: Solve for x
    x = 51,500,763.51/6,164.84
  6. Step 6: Final answer
    x = 8,353.95

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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.